Corner 1 and corner 2 are one-sided. If angle is 1 / by angle 2 = 5/7. Find angle 1, angle 2.
| June 21, 2021 | education
When intersecting parallel secant lines, the sum of the inner (or outer) one-sided corners is 180.
Angle ∠1 + ∠2 = 180. (1)
By condition: angle ∠1 / ∠2 = 5/7. (one)
Let’s solve a system of two equations.
∠2 = 180 – ∠1.
∠1 / (180 – ∠1) = 5/7.
7 * ∠1 = 900 – 5 * ∠1.
12 * ∠1 = 90.
∠1 = 75.
∠2 = 180 – 75 = 105.
Answer: ∠1 = 750, ∠2 = 105.
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