Question

an angle of a parallelogm is given as 35°. find all angles of parallelogram​

Answer 1

Given,

An angle of a parallelogram is 35°.

To find out,

Find all the angles of parallelogram.

Solution:

We know that the opposite sides of a parallelogram are equal.

If we assume <A = 35° then the angle opposite to <A is 35°.

< A = <C = 35°

Let the other two angle be X. Because they both are equal.

Sum of the angles in a parallelogram is 360°.

<A + < B + < C + < D = 360°

35°+X°+35°+X° = 360°

70° + 2X° = 360°

2X = 360°-70°

2X = 290°

X = 290/2

X = 145°

The other two angles are 145° and 145°.

Therefore the four angles of the parallelogram are 35°,35°,145°,145°.

Proof :

35°+35°+145°+145° = 360°