AC = BC Angle 4 = Angle 2 Angle 3 + Angle 4 = 110 Degrees Find Angles 1,2,3,4,5
| July 18, 2021 | education
Since, by condition, AC = BC, then the angle ∠3 = ∠1.
Let ∠1 = ∠3 = X0, then (∠3 + ∠4) + ∠1 = 180.
110 + ∠1 = 180.
Angle ∠1 = 180 – 110 = 70.
The angle ∠1 = ∠3 = 70, then the angle ∠4 = 110 – 70 = 40.
Since, according to the condition, the angle ∠2 = ∠4 = 70, and these are cross-lying angles, then the straight line a is parallel to the straight line b, and then the angle 5 = ∠3 = 70.
Answer: ∠1 = ∠3 = ∠5 = 70, angle ∠2 = ∠4 = 40.
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