Question

2. In parallelogram PQRS, ZQ = (4x - 5)º and
ZS = (3x + 10). Calculate : ZQ and ZR.​

Answer 1

GIVEN : <Q = (4x-5)°

and <s = (3x+10)°

Find: <Q and <R

Formula used : In a parallelogram

sum of adjacent angle is 180°.

2. (opposite angle of a parallelogram are

equal)

ATQ

<s + <Q = 180°

3x+10+4x-5 = 180°

7x+5 = 180°

X = 180-5/7

X = 175/7

X = 25

Therefore

< Q = 4×25-5

= 100-5

= 95°

<Q = <R

Thus

<R = 95°

From above formula