One of the adjacent corners is 1/3 of the other. Find these corners.

univerkov | August 31, 2021 | education

1. AOD: ∠AOS = 1: 3. Therefore, AOD = 3∠AOD.

2. To solve the problem, we will use the property of adjacent angles that their total value is 180 °:

∠AOD + AOС = 180 °. We substitute in this expression 3∠AOD instead of AOC:

3∠AOD + AOD = 180 °.

4∠AOD = 180 °.

∠AOD = 180 °: 4 = 45 °.

∠AOS = AOD x 3 = 135 °.

Answer: ∠AOD = 45 °, ∠AOC = 135 °.

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