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Two angles form a linear pair. The measure of one angle is 13 the measure of the other angle. Find the measure of each angle.
Question
Two angles form a linear pair. The measure of one angle is 13 the measure of the other angle. Find the measure of each angle.
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Mathematics
4 years
2021-08-09T12:16:34+00:00
2021-08-09T12:16:34+00:00 1 Answers
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Answers ( )
Your question is not complete so there are two answers:
1.
The measure of one angle is 13 times the measure of the other angle.
Answer:
One angle is 167.14° and the other is 12.86°
Step-by-step explanation:
Two angles of a linear pair create a straight angle therefore they add to 180°
x° – the other angle
(13x)° – one angle
x + 13x = 180
14x = 180
÷14 ÷14
x ≈ 12.86
13x = 13•12.86 = 167.14
Checking: 12.96+167.14 = 180
2.
The measure of one angle is 13 more than the measure of the other angle.
Answer:
One angle is 96.5° and the other is 83.5°
Step-by-step explanation:
Two angles of a linear pair create a straight angle therefore they add to 180°
x° – the other angle
(x+13)° – one angle
x + x + 13 = 180
-13 -13
2x = 167
÷14 ÷14
x ≈ 83.5
x+13 = 83.5 + 13 = 96.5
Checking: 83.5+96.5 = 180