Find the measure of an angle whose supplement is sixteen times its complement. Hint: Supplement and complement of an angle are (
180-0) and (90-0) respectively.
2 answers:
Answer:
The angle is 84 degrees
Step-by-step explanation:
Let's call the angle by 'x'.
the supplement of x is equal to 180-x, and the complement of x is equal to 90-x.
If the supplement is sixteen times the complement, we can write the following equation:
(180 - x) = 16 * (90 - x)
180 - x = 1440 - 16x
16x - x = 1440 - 180
15x = 1260
x = 84
The angle is 84 degrees.
Answer:
84⁰
Step-by-step explanation:
Complement = 90 - x
Supplement = 180 - x
Given:
180 - x = 16(90 - x)
180 - x = 1440 - 16x
15x = 1260
x = 84
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