Question

The measure of the supplement of an angle is 70 more than THRICE the measure of the complement of an angle. Find the measure of an angle.

Answer 1

Answer:

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Step-by-step explanation:

Complementary angles sum to 90°. 90° - 70° =20°, the complement of 70° is 20°.

Supplementary angles sum to 180°. 180° - 20° =160°, the supplement of 20° is 160°.

Therefore the supplement of the complement of 70° is 160°.

Notice how this is exactly 90° more than the original measure of angle A.

The complement of A = (90° - A°)

The supplement of the complement of A = 180° - (90° - A°) => 90° + A°