What is the value of an angle if two adjacent angles add up to 110 degrees?
| August 8, 2021 | education
Let x be the desired angle, a and b be the angles adjacent to it.
The sum of adjacent angles is 180 °:
a + x = 180 °. Hence a = 180 ° – x.
b + x = 180 °. Hence b = 180 ° – x.
Therefore, a = b.
Since the sum of a and b is 110 °, then a = b = 110 °: 2 = 55 °.
We calculate the degree measure of the angle x:
a + x = 180 °; x = 180 ° – a = 180 ° – 55 ° = 125 °.
Answer: the angle is 125 °.
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