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Please does anyone know the answer to this question??

Please does anyone know the answer to this question??-example-1

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9514 1404 393

Answer:

126°

Explanation:

To find the exterior angle, we need to know one of the acute angles. Those are found using the fact that they are complementary.

(5x -6) +(3x) = 90

8x = 96 . . . . . . . . . . . add 6, collect terms

x = 12 . . . . . . . . . . . . . divide by 8

3x° = 3·12° = 36° . . . . . . find the "remote" acute angle

exterior angle = 90° +36°

exterior angle = 126°

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The exterior angle is the supplement of the one marked (5x-6)°. It is also the sum of the two remote interior angles, 90° and 3x°. Being lazy, we figure that 90 +3·12 is easier to compute than 180 - (5·12 -6). Either way, the exterior angle is 126°.

User The Rationalist
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