One of the adjacent angles is 26 ° larger than the other. Find these corners.
April 5, 2021 | education
| Adjoining angles add up to 180 °.
We solve this problem analytically, that is, using the equation.
Let x degrees be one adjacent angle, then the other is (x + 26) degrees.
x + x + 26 ° = 180 °,
2x + 26 ° = 180 °,
2x = 180 ° – 26 °,
2x = 154 °,
x = 77 ° is one of the adjacent corners.
Find the second adjacent angle 180 ° – 77 ° = 103 °.
Answer: 77 °, 103 °.
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