Question

find the value of x and y in given figure​

Answer 1

$y + 120 = 180$

$(linear \: pair)$

$y = 60$

$x + 60 + 50 = 180 \: \: \: (aspt)$

$x = 180 - 110$

$x = 70$

Answer 2

Answer:

In the attachment, we can see that in ΔABC, ∠B= 50°.

∠ACD= 120°

∠ACD and ∠ACB are forming a linear pair.

∠ACD+∠ACB= 180°

120°+∠ACB= 180°

∠ACB= 180-120

∠ACB= 60°

y= 60° (y=∠ACB= angle C)

Now, ∠B= 50°; ∠Y= 60°

We just have to find ∠A, which is x.

Angle Sum Property of Triangle:

The sum of all three angles of the triangle should be equal to 180°

∠A+∠B+∠C= 180°

∠A+50°+60°=180°

∠A+110°= 180°

∠A= 180-110

∠A= 70°= x

x= 70°

y= 60°

Hope it helps

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