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The measure of one angle in a triangle is 2x degrees, the second angle is 3x + 10 degrees, and the third angle is 4x - 19 degre...Asked by @Ebkthang_700 🏴☠️
the measure of one angle in a triangle 2x degrees , the second angle is 3x+10 degrees , and the third angle is 4x- 19 degrees. Find the value of x and the measures of all of all three angles. (please list just the numerical values with a space in between. No commas. No variables)
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Answered by
@Ebkthang_700 🏴☠️
the measure of one angle in a triangle 8c+10 degrees, the second angle is 3c - 20 degrees, and the third angle is 5c +30 degrees. Find the value of c and the measures of all of all three angles. (please list just the numerical values with a space in between. No commas. No variables)
Answered by
GPT 3.5
To find the value of x, we can set up an equation by using the fact that the sum of the three angles in a triangle is 180 degrees.
So we have:
2x + (3x + 10) + (4x - 19) = 180
Combine like terms:
9x - 9 = 180
Add 9 to both sides:
9x = 189
Divide by 9:
x = 21
Now we can substitute x = 21 into the expressions for each angle to find their measures:
Angle 1: 2x = 2 * 21 = 42 degrees
Angle 2: 3x + 10 = 3 * 21 + 10 = 73 degrees
Angle 3: 4x - 19 = 4 * 21 - 19 = 85 degrees
So the value of x is 21, and the measures of the three angles are 42 degrees, 73 degrees, and 85 degrees.
So we have:
2x + (3x + 10) + (4x - 19) = 180
Combine like terms:
9x - 9 = 180
Add 9 to both sides:
9x = 189
Divide by 9:
x = 21
Now we can substitute x = 21 into the expressions for each angle to find their measures:
Angle 1: 2x = 2 * 21 = 42 degrees
Angle 2: 3x + 10 = 3 * 21 + 10 = 73 degrees
Angle 3: 4x - 19 = 4 * 21 - 19 = 85 degrees
So the value of x is 21, and the measures of the three angles are 42 degrees, 73 degrees, and 85 degrees.
Answered by
GPT 3.5
To find the value of c, we can set up an equation by using the fact that the sum of the three angles in a triangle is 180 degrees.
So we have:
(8c + 10) + (3c - 20) + (5c + 30) = 180
Combine like terms:
16c + 20 = 180
Subtract 20 from both sides:
16c = 160
Divide by 16:
c = 10
Now we can substitute c = 10 into the expressions for each angle to find their measures:
Angle 1: 8c + 10 = 8 * 10 + 10 = 90 degrees
Angle 2: 3c - 20 = 3 * 10 - 20 = 10 degrees
Angle 3: 5c + 30 = 5 * 10 + 30 = 80 degrees
So the value of c is 10, and the measures of the three angles are 90 degrees, 10 degrees, and 80 degrees.
So we have:
(8c + 10) + (3c - 20) + (5c + 30) = 180
Combine like terms:
16c + 20 = 180
Subtract 20 from both sides:
16c = 160
Divide by 16:
c = 10
Now we can substitute c = 10 into the expressions for each angle to find their measures:
Angle 1: 8c + 10 = 8 * 10 + 10 = 90 degrees
Angle 2: 3c - 20 = 3 * 10 - 20 = 10 degrees
Angle 3: 5c + 30 = 5 * 10 + 30 = 80 degrees
So the value of c is 10, and the measures of the three angles are 90 degrees, 10 degrees, and 80 degrees.
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