Question

The measure of an angle is twice the measure of its compliment. I hat are the measures of both angles?

A) 30 and 60
B) 20 and 40
C) 45 and 45
D) 60 and 120

Answer 1

Answer:

A) 30 and 60

Step-by-step explanation:

Complimentary angles combined = 90°.

One of the angles is twice the other. Let the measurement of the smaller one = x. Set the equation:

x + (2x) = 90°

Simplify. Combine like terms:

(x + 2x) = 90

3x = 90

Isolate the variable, x. Divide 3 from both sides:

(3x)/3 = (90)/3

x = 90/3

x = 30

Find the other measurement. The other measurement is twice the size of the first one. Multiply the number gotten by 2:

2(x) = 2(30) = 60

A) 30 and 60 is your answer.

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