The triangle angle sum theorem states that the sum of the angles in a triangle is always 180 degrees. Therefore, to find the measure of the angle at point C, we need to subtract the measures of angles A, B, and D from 180.
Angle A = 103 degrees
Angle B = 103 degrees
Angle D = 22 degrees
180 - (103 + 103 + 22) = 180 - 228 = -48
Since -48 degrees is not a possible angle measure in a triangle, it seems that there might be an error in the given information. Please check the values again or provide more details if necessary.
the image show abcd a and b are 103 degrees and d is 22 use the triangle angle sum theorem to find the measure of the angle on point c
158
81
77
180
101
must pick one
11 answers
pick one of the provided answers
Based on the given information, the measure of the angle at point C can be determined using the triangle angle sum theorem.
Angle A = 103 degrees
Angle B = 103 degrees
Angle D = 22 degrees
To find the measure of the angle at point C, we need to subtract the measures of angles A, B, and D from 180:
180 - (103 + 103 + 22) = 180 - 228 = -48
Since -48 degrees is not a possible angle measure in a triangle, it seems that there might be an error in the given information. Therefore, none of the provided answers (158, 81, 77, 180, 101) can be correct based on the given information.
Angle A = 103 degrees
Angle B = 103 degrees
Angle D = 22 degrees
To find the measure of the angle at point C, we need to subtract the measures of angles A, B, and D from 180:
180 - (103 + 103 + 22) = 180 - 228 = -48
Since -48 degrees is not a possible angle measure in a triangle, it seems that there might be an error in the given information. Therefore, none of the provided answers (158, 81, 77, 180, 101) can be correct based on the given information.
two sides of a triangle are 10 mm and 7 mm. using the triangle inequality theorem determine the lengh of the third side from the choice given
5mm
2mm
1mm
20mm
5mm
2mm
1mm
20mm
The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Given that the lengths of two sides are 10 mm and 7 mm, let's determine the possible length of the third side:
10 + 7 = 17
So, the possible length of the third side must be less than 17 mm. Based on the choices provided, the only value that satisfies this condition is 5 mm.
Therefore, the length of the third side is 5 mm.
Given that the lengths of two sides are 10 mm and 7 mm, let's determine the possible length of the third side:
10 + 7 = 17
So, the possible length of the third side must be less than 17 mm. Based on the choices provided, the only value that satisfies this condition is 5 mm.
Therefore, the length of the third side is 5 mm.
apply the triangle inequality theorem to determine which three side lenghes from a triangle
8 4 12
20 10 30
10 20 15
8 8 20
8 4 12
20 10 30
10 20 15
8 8 20
The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Let's apply the triangle inequality theorem to the given sets of side lengths:
1) 8, 4, 12
The sum of 8 and 4 is 12, which is equal to the third side. According to the triangle inequality theorem, the sum of the two shorter sides must be greater than the longest side. Since 12 is not greater than 12, this set of side lengths does not form a triangle.
2) 20, 10, 30
The sum of 20 and 10 is 30, which is equal to the third side. According to the triangle inequality theorem, the sum of the two shorter sides must be greater than the longest side. Since 30 is not greater than 30, this set of side lengths does not form a triangle.
3) 10, 20, 15
The sum of 10 and 20 is 30, which is greater than the third side of 15. Therefore, this set of side lengths does form a triangle.
4) 8, 8, 20
The sum of 8 and 8 is 16, which is less than the third side of 20. According to the triangle inequality theorem, this condition is not satisfied, so this set of side lengths does not form a triangle.
Out of the given sets of side lengths, only 10, 20, 15 satisfies the triangle inequality theorem, so that is the set that forms a triangle.
Let's apply the triangle inequality theorem to the given sets of side lengths:
1) 8, 4, 12
The sum of 8 and 4 is 12, which is equal to the third side. According to the triangle inequality theorem, the sum of the two shorter sides must be greater than the longest side. Since 12 is not greater than 12, this set of side lengths does not form a triangle.
2) 20, 10, 30
The sum of 20 and 10 is 30, which is equal to the third side. According to the triangle inequality theorem, the sum of the two shorter sides must be greater than the longest side. Since 30 is not greater than 30, this set of side lengths does not form a triangle.
3) 10, 20, 15
The sum of 10 and 20 is 30, which is greater than the third side of 15. Therefore, this set of side lengths does form a triangle.
4) 8, 8, 20
The sum of 8 and 8 is 16, which is less than the third side of 20. According to the triangle inequality theorem, this condition is not satisfied, so this set of side lengths does not form a triangle.
Out of the given sets of side lengths, only 10, 20, 15 satisfies the triangle inequality theorem, so that is the set that forms a triangle.
this image show a b c a is 2x b is 96 and c is x+12 find the measure of the two missing angles
Unfortunately, as a text-based AI, I am unable to view or interpret images. However, I can assist you with the problem if you provide the information in a descriptive format. For example, if you describe the given angles or any other known information, I can help you find the missing angles in the triangle. Please provide the relevant information, and I will be glad to assist you further.
pick any
ma = blank
mc = blank
ma = blank
mc = blank
Let's assume that angle A (ma) is x degrees and angle C (mc) is y degrees.
Based on the given information, we have:
Angle A (ma) = 2x
Angle B = 96
Angle C (mc) = x + 12
The sum of the angles in a triangle is always 180 degrees. Therefore, we can use the triangle angle sum theorem to find the missing angles.
ma + mb + mc = 180
Replacing the known angles in terms of x and y, we get:
2x + 96 + (x + 12) = 180
Simplifying, we have:
3x + 108 = 180
Subtracting 108 from both sides, we get:
3x = 72
Dividing both sides by 3, we find:
x = 24
Now we can find the measure of the missing angles:
ma = 2x = 2 * 24 = 48 degrees
mc = x + 12 = 24 + 12 = 36 degrees
Therefore, the measure of the missing angle ma is 48 degrees and the measure of the missing angle mc is 36 degrees.
Based on the given information, we have:
Angle A (ma) = 2x
Angle B = 96
Angle C (mc) = x + 12
The sum of the angles in a triangle is always 180 degrees. Therefore, we can use the triangle angle sum theorem to find the missing angles.
ma + mb + mc = 180
Replacing the known angles in terms of x and y, we get:
2x + 96 + (x + 12) = 180
Simplifying, we have:
3x + 108 = 180
Subtracting 108 from both sides, we get:
3x = 72
Dividing both sides by 3, we find:
x = 24
Now we can find the measure of the missing angles:
ma = 2x = 2 * 24 = 48 degrees
mc = x + 12 = 24 + 12 = 36 degrees
Therefore, the measure of the missing angle ma is 48 degrees and the measure of the missing angle mc is 36 degrees.
1 answer