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zhuklara [117]
3 years ago
10

Find the measure of an angle whose measure is 60 degrees more than the measure of its complement

Mathematics
2 answers:
Natasha2012 [34]3 years ago
6 0
Two complementary angles add up to 90 degrees. Hence, the problem can be set up and solved. Let x represents one angle and 5x represent the angle that is 5 times greater:x + 5x = 90 (simplify)6x = 90 (next divide both sides by 6 to find the value of x [the smaller angle])x = 15 (this is the smaller angle, next subtract 15 from 90 to find the greater angle)90 - 15 = 75 (this is the greater angle which is 5 times that of its complement) <span>90 take away 73...</span>
solmaris [256]3 years ago
4 0

Answer:

75⁰

Step-by-step explanation:

Angle = x

Complement = 90 - x

Given:

x = 90 - x + 60

2x = 150

x = 75⁰

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<u>Check work:</u>

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