Question

problem on angle sum of a triangle and angles in parallel line.
From the given figure find the value of X and Y.​

Answer 1

Step-by-step explanation:

Given : AB∣∣CD,∠A=59

∘

,∠B=60

∘

To find : Value of x+y.

Solution :

since AB∣∣CD,

taking BC as transversal,

x=60

∘

(corresponding angles)

now taking AC as transversal,

y=59

∘

(alternate interior angles)

So,

x+y=60

∘

+59

∘

=119

∘

Answer 2

Answer:

angle y=angle 2x ( ALTERNATE INTERIOR ANGLE)

angle CNB+72=180

angle CNB=180-72

angle CNB=108

CNB+y+x=180

CNB+2x+x=180

108+3x=180

3x=72

x=24