Question

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

Answer 1

Answer:

R = 120 +z = 180

z= 60°

y+q+z =180

y+90+ 60 = 180

y = 30°

Q + P + S = 180°

90 + x+y +30 =180

90 + x + 30 +30 =180

90+60 +x=180

x= 180-150

= 30°

Step-by-step explanation:

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Answer 2

Answer : x and y each are 30° resp.

Step-by-step explanation:

clearly, angle PQR = 180 - 120

= 60

now, the total degree of angles of the triangle is 180.

consider triangle PQR :

180 = y + 90 + 60

therefore, y = 30

Similarly,

180 = x + 120 + 30

therefore, x = 30

Verifying the results for triangle PQS:

(x+y) + angle PQR + angle PSQ = 180°

LHS:

(30+30) + 90 + 30 = 180°

i.e = RHS