Question

in fig line ab and cd intersect at o angle boc=63dregee find x,y, and a​

Answer 1

Answer:

In first figure,

∠AOD=∠BOC ------- Vertically Opposite angles

∴x=36

∘

∠AOC+∠COB=180

∘

------ Angles on straight line

y+36

∘

=180

∘

y=180

∘

−36

∘

y=144

∘

∠AOC=∠BOD ------- Vertically Opposite angles

y=z=144

∘

In second figure,

∠POR+∠ROT+∠QOT=180

∘

------ Angles on straight line

2x+90

∘

+x=180

∘

3x=90

∘

x=30

∘

∴2x=60

∘

∠POR=∠SOQ ------- Vertically Opposite angles

2x=y=60

∘

∠POS=∠ROQ ------- Vertically Opposite angles

z=90

∘

+x

z=90

∘

+30

∘

z=120

∘