Question

in the given figure PQRD, PQ||SR and PQ=SR. Find the values of angles x and y​

Answer 1

☯︎ Aɴsᴡᴇʀ

we have,

• PQ || SR
• PQ = SR
• ∠RPQ = 60°
• ∠RPS = 30°

here, PQ || SR

so, PR is transversal line

then, ∠RPQ = ∠SRP (alternate angles)

➪ ∠SRP = 60° (given)

➪ x = 60°

_____________________

and ∠RPS = ∠PRQ (alternate angles)

➪ ∠PRQ = 30° (given)

➪ y = 30°

_____________________

hence, value of x is 60° and value of y is 30°