Q14 of 50 Page 6

In Fig., find x. Further find ∠BOC, ∠COD and ∠AOD.

∠AOD + ∠BOD = 180^o (Linear pair)

∠AOD + ∠COD + ∠BOC = 180^o (Linear pair)

Given that,

∠AOD = (x + 10)

∠COD = x

∠BOC = (x + 20)

(x + 10) + x + (x + 20) = 180⁰

3x = 150^o

x = 50^o

Therefore,

∠AOD = 60^o

∠COD = 50^o

∠BOC = 70^o

In Fig., three coplanar lines intersect at a point O, forming angles as shown in the figure, Find the values of x, y, z and u.

In Fig., if AB || CD, EF ⊥ CD and∠ GED = 126°, find ∠ AGE, ∠ GEF and ∠ FGE.

In Fig, PQ||AB and PR||BC. If ∠QPR = 102°, determine ∠ABC. Give reasons.

In Fig., POQ is a line. Ray OR is perpendicular to line PQ. OS is another ray lying between rays OP and OR. Prove that ∠ ROS = 1/2 (∠ QOS –∠ POS).