Question

An angle is
2/ 3
of its complement. Find its magnitude.​

Answer 1

Step-by-step explanation:

The complementary angle is x

Complementary angles sum to a right angle (90 degrees).

x + (2/3)x = 90

(3/3)x + (2/3)x = 90

(5/3)x = 90

x = 90(3/5)

x = 54 degrees

The angle is 2/3 of this

The angle is (2/3)54 = 36 degrees

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