Question

Pls answer this question​

Answer 1

Step-by-step explanation:

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

∘

Answer 2

Answer:

angle x will be also 36degree as they are vertically opposite angle

angle y will be 180-36 degree = 154 degree as they are in a leniar pair

angle z will also be 154 degree as as angle y and angle z are vertically opposite angles