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sweet-ann [11.9K]
4 years ago
11

the measures of 2 angles are (5x+24) and (9x-7). what is the value of x if these angles are congruent?

Mathematics
1 answer:
sp2606 [1]4 years ago
6 0

Hello!

We assign (5x + 24) to angle one and (9x - 7) to angle two. If these angles are congruent, then angle one is equal to angle two. To find the value of x, you need to create and equation as follows: 5x + 24 = 9x - 7 and find the value of x like a normal algebraic equation.

5x + 24 = 9x - 7 (subtract 5x from both sides)

24 = 4x - 7 (add 7 to both sides)  

31 = 4x (divide 4 to both sides)

x = 31/4

Therefore, the value of x is equal to 31/4.

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Another way to do this is to know that there are 360° in a trapezoid. This is a right trapezoid, so two of the angles are 90°. One angle is 73°. 90° + 90° + 73° = 253°. 360° - 253° = 107°.

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