Question

From the adjoining figure, the value of (x+y)° is
a) 270°
b) 240°
c) (360°-120°)
d) (360°-90°) ​

Answer 1

Answer:

Correct option is

C

x=80, y=60, z=140

In△BCE

⟹∠BEC+∠BCE+∠CBE=180

∘

⟹90

∘

+30

∘

+∠CBE=180

∘

⟹∠CBE=60

∘

y=60

∘

In△APC:

⟹50

∘

+30

∘

+∠APC=180

∘

⟹∠APC=100

∘

∴x=180−∠APC

(∵sumofanglesonastraightline=180

∘

)

⟹x=180

∘

−100

∘

=80

∘

In△BOP:

z=x+y(exteriorangleofatriangle=sumoftwooppositeinteriorangles)

⟹z=80+60=140

∘

∴x=80

∘

,y=60

∘

,z=140

∘