Question

31. In the given figure, x + y is equal to
(1) 210°
(2) 230°
(3) 270°
(4) 190°​

Answer 1

Answer:

For triangle COA

Angle C= 80°

Angle O= 40°

As we know sum of all angles of a triangle are 180°

Angle C + Angle O + Angle A= 180°

80°+ 40° +x = 180°

Angle A= 180°- 120°

Angle A= 60°

X= 180°-60°=120° [ Linear pair]

For triangle BOD

Angle O=40°

Angle D=70°

As we know sum of all angles of a triangle are 180°

Angle O+ Angle D +Angle B=180°

40°+70°+ Angle B= 180°

Angle B= 180°-110°= 70°

y= 180°-70°=110°

So, x+y= 120°+ 110°= 230°

Hope this helps you !!