9514 1404 393
Answer:
x = 27°
Step-by-step explanation:
Each exterior angle is equal to the sum of the remote interior angles.
6x = 90° +(180° -4x)
10x = 270° . . . . . add 4x
x = 27° . . . . . . . . divide by 10
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Check
6x = 162°, so the adjacent interior angle of the triangle is 180° -162° = 18°.
4x = 108°, so the adjacent interior angle of the triangle is 180° -108° = 72°.
The interior angles of the triangle are complementary, as they should be.
18° +72° = 90°
