Question

Find the value of x and y in the given figure:
​

Answer 1

Answer:

As, we know that sum of interior

angles = 180

∘

so, x

∘

+y

∘

+40+60

∘

=180 ___ (1)

⇒x

∘

+y

∘

=80

∘

[in △ABD]

Also, In △ABC x

∘

+40

∘

+90

∘

=180

∘

⇒x

∘

=50

∘

In △ACD y

∘

+60

∘

+90

∘

=180

∘

⇒y

∘

=30

∘

verifying using (1) them 50

∘

+30

∘

=80

∘

solution