The sum of the two angles of an isosceles trapezoid is 46 °. Find the larger angle of the trapezoid.
| April 25, 2021 | education
1. A, B, C, D – the tops of the trapezoid. ∠А + ∠D = 46 °.
2. The angles at the base of an isosceles trapezoid are equal. ∠А = ∠D = 46 °: 2 = 23 °.
3. According to one of the properties of an isosceles trapezoid, the total value of the angles,
facing each other is 180 °. Using it, we calculate the value of ∠С:
∠С = 180 ° – ∠А = 180 ° – 23 ° = 157 °.
4. ∠В is also equal to 157 °, since it is also located at the base of ВС.
Answer: large trapezoid angles ∠В = ∠С = 157 °.
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