In an isosceles triangle ABC, the angle at the apex B is 80 degrees. Find the angle at the base of the isosceles triangle.
| November 20, 2020 | education
1) Since the triangle ABC is isosceles, then ∠A = ∠C (angles at the base).
2) ∠А + ∠В + ∠С = 180 ° (the sum of the angles of the triangle), and since ∠А = ∠С, it can be written as ∠В + 2∠А = 180 °
80 ° + 2∠А = 180 °,
2∠А = 180 ° -80 °,
2∠A = 100 °,
∠А = 100 ° / 2,
∠А = 50 °
Answer: 50 °
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