In a figure, one complementary angle has a measure of 36° and the other has a measure of (x−3)°. What is the value of x and the value of the unknown angle measure? (1 point)

1 answer

Since the two angles are complementary, their measures must add up to 90°.

Therefore, we have:
36° + (x-3)° = 90°
x - 3 + 36 = 90
x + 33 = 90
x = 90 - 33
x = 57

The value of x is 57°.

Now, we can find the measure of the other angle:
(x-3)° = 57 - 3
(x-3)° = 54

Therefore, the other angle measure is 54°.
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