Question

Three support beams form a pair of complementary angles (x+3 (2x-3). Find the measure of each angle.

Answer 1

Answer:

33°, 57°

Step-by-step explanation:

The sum of angle measures is 90°, so we can write ...

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

3x = 90 . . . . . . . . . . . . simplify

x = 30 . . . . . . . . . . . . . divide by 3

The first angle is 30+3 = 33 degrees.

The second angle is 2·30-3 = 57 degrees.

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Check:

33° +57° = 90°