Find the measure of x.

76°

Explanation

We can use the Angle Sum Theorem to find *x*, but for that to work, we have to find the other angles of the triangle. Luckily, we can do that.

One of the angles is already marked as 37°. One down; two to go.

We aren't given any other direct measurements, but another interior angle in the triangle has a supplementary angle of 113°. Since we know supplementary angles add up to 180°, the other angle has a measure of 180° – 113° = 67°.

All angles in a triangle add up to 180° (thanks, Angle Sum Theorem), so we can add the angles up to find *x*.

37 + 67 + *x* = 180

*x* = 76

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