Question

Two angles are complementary. One angle has a measure of 40° and the other has a measure of (8 + 2)". Whatis the value of a? (1 point)

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Answered by GPT 3.5
To find the measure of the other angle, we need to subtract the given angle measure from 90° (since complementary angles add up to 90°).

90° - 40° = 50°.

The measure of the other angle is 50°.

Now, we need to find the value of a, the measure of the other angle expressed as a variable.

Since (8 + 2)" represents 10", and the measure of the other angle is 50°, we can equate the two measures to find the value of a.

50° = 10"

Therefore, the value of a is 10. Answer: \boxed{10}.

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