What is the measure of angle C?

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  49°

Step-by-step explanation:

Angles A and C are complementary, so we have ...

  (3x -7) +(2x +17) = 90

  5x = 80 . . . . . . . . . . . . . subtract 10

  x = 16 . . . . . . . . . divide by 5

Then the measure of angle C is ...

  ∠C = 2x +17 = 2(16) +17

  ∠C = 49

check the picture below.

well, the angle at the vertex d is clearly not a right-angle, let's check for the one at the vertex f which does look like,   however if it's indeed, that means ef is perpendicular to df, in which case their slopes will be negative reciprocal of each other.

so the negative reciprocal of the slope of ef is 1, however the slope of df is not 1, is 1/2, so nope, they're not perpendicular lines.

250

step-by-step explanation: