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tekilochka [14]
3 years ago
6

The measure of an angle is 6 less than 5 times its complement. what is the measure of its complement

Mathematics
2 answers:
ra1l [238]3 years ago
8 0
Measure of angle is 6 less than 5 times its complement,
Equation is:
A= 5 x (90 - A) - 6
Solve for A.
A=5(90-A)-6
A=450-5A-6
Add 5A to both sides
6A=444
A=74°
Now the complementary angle=90°-74° =16°


Answer: 16°
pogonyaev3 years ago
4 0

Answer:

the measure of its complement is 16\°

Step-by-step explanation:

Let

x-----> the measure of an angle

y----> the measure of the complement of angle x

we know that

x+y=90\° ----> equation A

x=5y-6 -----> equation B

Substitute equation B in equation A

5y-6+y=90

Solve for y

5y+y=90+6

y=96/6=16\°

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