Find the angles A and C of the convex quadrilateral abcd if angle A = angle C, angle B = 120, angle D = 74.
| March 8, 2021 | education
The sum of the interior angles of a convex quadrilateral is 360.
Then ∠А + ∠В + ∠С + ∠D = 360.
Since the angle ∠А = ∠С, then 2 * ∠А = 360 – ∠В – ∠С = 360 – 120 – 74 = 166.
Angle ∠А = ∠С = 166/2 = 83.
Answer: Angle A and C are equal to 83.
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