To find the third angle of a triangle, we can use the Triangle Angle Sum Theorem, which states that the sum of all angles in a triangle is always 180 degrees.
Given that one angle measures 25° and another angle measures 68°, we can find the third angle by subtracting the sum of these two angles from 180 degrees:
180° - (25° + 68°) = 180° - 93° = 87°
Therefore, the third angle of the triangle measures 87°.
Use the Triangle Angle Sum Theorem to find the third angle of a triangle if the other two angles measure 25° and 68° . (1 point)
Responses
88°
88 degrees
86°
86 degrees
87°
87 degrees
77°
11 answers
Use the image to answer the question.
An illustration shows a triangle with vertices as D G O. Angle G at the bottom left is right angled. Angle O at the bottom right is 41 degrees. The line D O forms the hypotenuse.
Find the measure of the angle on point D .
(1 point)
Responses
59°
59 degrees
49°
49 degrees
29°
29 degrees
39°
An illustration shows a triangle with vertices as D G O. Angle G at the bottom left is right angled. Angle O at the bottom right is 41 degrees. The line D O forms the hypotenuse.
Find the measure of the angle on point D .
(1 point)
Responses
59°
59 degrees
49°
49 degrees
29°
29 degrees
39°
Given that angle O measures 41 degrees and angle G is right angled, we can find the measure of angle D by using the property of a right triangle which states that the sum of the angles in a triangle is always 180 degrees.
Since angle G is 90 degrees and angle O is 41 degrees, we can subtract their sum from 180 degrees:
180° - (90° + 41°) = 180° - 131° = 49°
Therefore, the measure of angle D is 49 degrees.
Since angle G is 90 degrees and angle O is 41 degrees, we can subtract their sum from 180 degrees:
180° - (90° + 41°) = 180° - 131° = 49°
Therefore, the measure of angle D is 49 degrees.
Use the image to answer the question.
A triangle is shown with its angles measuring left parenthesis 5 x minus 1 right parenthesis degrees, left parenthesis 8 x plus 5 right parenthesis degrees, and left parenthesis 4 x plus 6 right parenthesis degrees.
Use the Triangle Angle Sum Theorem to find the measures of each angle for the triangle shown in the diagram.
(1 point)
Responses
46°, 49°, and 85°
46 degrees , 49 degrees , and 85 degrees
50°, 54°, and 93°
50 degrees , 54 degrees , and 93 degrees
46°, 50°, and 85°
46 degrees , 50 degrees , and 85 degrees
42°, 44°, and 79°
A triangle is shown with its angles measuring left parenthesis 5 x minus 1 right parenthesis degrees, left parenthesis 8 x plus 5 right parenthesis degrees, and left parenthesis 4 x plus 6 right parenthesis degrees.
Use the Triangle Angle Sum Theorem to find the measures of each angle for the triangle shown in the diagram.
(1 point)
Responses
46°, 49°, and 85°
46 degrees , 49 degrees , and 85 degrees
50°, 54°, and 93°
50 degrees , 54 degrees , and 93 degrees
46°, 50°, and 85°
46 degrees , 50 degrees , and 85 degrees
42°, 44°, and 79°
According to the Triangle Angle Sum Theorem, the sum of the measures of the three angles in a triangle is always 180 degrees.
Let's denote the measures of the angles as (5x - 1) degrees, (8x + 5) degrees, and (4x + 6) degrees.
Setting up the equation:
(5x - 1) + (8x + 5) + (4x + 6) = 180
Combining like terms:
17x + 10 = 180
Subtracting 10 from both sides:
17x = 170
Dividing by 17:
x = 10
Now, we can substitute the value of x back into the expressions to find the measures of each angle:
Angle A = 5x - 1 = 5(10) - 1 = 49 degrees
Angle B = 8x + 5 = 8(10) + 5 = 85 degrees
Angle C = 4x + 6 = 4(10) + 6 = 46 degrees
Therefore, the measures of the angles in the triangle are 46 degrees, 49 degrees, and 85 degrees.
Let's denote the measures of the angles as (5x - 1) degrees, (8x + 5) degrees, and (4x + 6) degrees.
Setting up the equation:
(5x - 1) + (8x + 5) + (4x + 6) = 180
Combining like terms:
17x + 10 = 180
Subtracting 10 from both sides:
17x = 170
Dividing by 17:
x = 10
Now, we can substitute the value of x back into the expressions to find the measures of each angle:
Angle A = 5x - 1 = 5(10) - 1 = 49 degrees
Angle B = 8x + 5 = 8(10) + 5 = 85 degrees
Angle C = 4x + 6 = 4(10) + 6 = 46 degrees
Therefore, the measures of the angles in the triangle are 46 degrees, 49 degrees, and 85 degrees.
The angles of a triangle measure (x+10)° , (x+20)° , and (x+30)° . Find the measure of the smallest angle.(1 point)
To find the measure of the smallest angle in a triangle, we need to compare the measures of the three given angles: (x+10)° , (x+20)°, and (x+30)°.
To find the smallest angle, we can set up an inequality:
(x+10)° < (x+20)° < (x+30)°
Expanding the inequality, we get:
x + 10 < x + 20 < x + 30
Simplifying the inequality, we have:
10 < 20 < 30
Since this is true, we can conclude that the measure of the smallest angle is (x+10)°.
To find the smallest angle, we can set up an inequality:
(x+10)° < (x+20)° < (x+30)°
Expanding the inequality, we get:
x + 10 < x + 20 < x + 30
Simplifying the inequality, we have:
10 < 20 < 30
Since this is true, we can conclude that the measure of the smallest angle is (x+10)°.
The angles of a triangle measure (x+10)° , (x+20)° , and (x+30)° . Find the measure of the smallest angle.(1 point)
Responses
60°
60 degrees
70°
70 degrees
50°
50 degrees
40°
Responses
60°
60 degrees
70°
70 degrees
50°
50 degrees
40°
To find the measure of the smallest angle in a triangle, we need to compare the measures of the three given angles: (x+10)°, (x+20)°, and (x+30)°.
To determine which angle is the smallest, we can set up an inequality:
(x+10)° < (x+20)° < (x+30)°
Expanding the inequality, we get:
x + 10 < x + 20 < x + 30
Subtracting x from all parts of the inequality, we have:
10 < 20 < 30
Since this statement is always true, regardless of the value of x, we cannot determine the measure of the smallest angle from the given information. It could be any value within a certain range, but it cannot be determined specifically.
To determine which angle is the smallest, we can set up an inequality:
(x+10)° < (x+20)° < (x+30)°
Expanding the inequality, we get:
x + 10 < x + 20 < x + 30
Subtracting x from all parts of the inequality, we have:
10 < 20 < 30
Since this statement is always true, regardless of the value of x, we cannot determine the measure of the smallest angle from the given information. It could be any value within a certain range, but it cannot be determined specifically.
JUST GIVE ME THE BEST ANSWER
Based on the given information, the measure of the smallest angle cannot be determined since the inequality does not provide enough information to make a definitive conclusion.
1 answer