Question 81626: help solve, having hard time and can you please explain:
Two angles are complementary if their sum is 90°. If the measure of the first angle is x°, and
the measure of the second angle is (2x - 3)°, find the measure of each angle.
Answer by chitra(359)  (Show Source):
You can put this solution on YOUR website! We know that 2 angles are said to be complementary if the sum of their angles is equal to 90°.
Here it is given that one angle is x° and the other angle is (2x - 3)° So their sum is equal to:
x° + (2x - 3)° = 90°
==> on adding, we get:
3x° - 3 = 90°
3x° = 90° + 3
==> 3x° = 93°
==> x = 
==> x = 31°
Hence, one of the angles is equal to 31°
Now the other angle is: (2x - 3)° = (2(31) - 3)°
This implies; (62 - 3)° = 59°
Hence, the second angle is: 59°
Thus, the sum of these twwo angles, that is: 31° + 59° make 90°
Hence, the solution.
Regards
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