Three support beams form a pair of complementary angles (x+3 (2x-3). Find the measure of each angle.
1 answer:
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.
_____
Check:
33° +57° = 90°
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