Question

D the remaining angles ? С auch ? 80° ted at the point o. EXERCISE 13 (A) 1. The measure of one angle of a parallelogram is 80°. What are the measures of 3. Tivo adjacent angles of a parallelogram are congruent. What is the measure of 1. Tivo adjacent sides of a parallelogram are 5 cm and 6 cm respectively. Find its Find each angle of a parallelogram if two consecutive angles are in the ratio 1 : 3. The perimeter of a parallelogram is 180 cm. One of its sides is greater than the other by 30 cm. Find the length of the sides of the parallelogram. Find the sizes of the angles of a parallelogram if one angle is 20° less than twice the smallest angle. 1 ABCD is a parallelogram. Find x, y and z. :3.10 А perimeter B Fig. Q. 1 100 and А E B A B C 125 Z 3x 56% YA 2x 5x D С D С Fig. Q. 7 Fig. Q.8 8. In the figure, find the four angles A, B, C and D of the parallelogram ABCD.​

Answer 1

Answer:

Let the measure of Angle A = 80°

A and C are opposite angles.

∠A = ∠C

So, ∠C = 80°

A and D are consecutive angles.

∠A + ∠D = 180°

80° + ∠D = 180°

∠D = 180° - 80°

∠D = 100°

D and B are opposite angles.

∠D = ∠B

So, ∠B = 100°

Therefore, the measures of the remaining angles are 100°, 80°, and 100°.

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