Question

20) Find x+ y+ z+ w .

Answer 1

Since BC is a Straight line

Therefore, 115+x= 180° ( linear pair)

x = 65°

Similarly , y = 180 - 70 = 110°

z = 180 - 60 = 120°

Now ,

Angle A + Angle B + Angle C + Angle D = 360°

Therefore, 60° + Angle B + 115° + 70° = 360°

Angle B = 360° - 245° = 115°.

Since AB is a Straight line .

Therefore , Angle B + w = 180° ( linear pair )

115° + w = 180°

w = 180° - 115°

w = 65°

Now x + y + z + w = 65° + 110° + 120° + 65°

= 360°. Ans.

Alter :

We know the angle x, y, z, and w are exterior. angles .

Therefore,. x + y + z + w = 360°. ( sum of exterior angles of quadrilateral is equal to 360°)