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  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

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°

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