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9514 1404 393

  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°

x is the total time in minutes for the free response

you are given number of questions as 15 - m and time per item as 8 minutes

to find x multiply the two givens together:

x = 8 * (15-m) = 8(15-m)