Question

in the adjacent figure pqrs is a trapezium with PQ is equals to Rs find the values of X and Y ​

Answer 1

Given :-

angle SPQ = 110°

angle PQR = 120°

now,

angle X = angle 1 (corresponding angles)

angle 1 = 180° - 110° (linear pair)

= 70°

therefore angle X is also = 70°

we know that sum of all interior angles of a quadrilateral is 360°.

➡ angle x + angle y + angle PQR + angle SPQ = 260°

➡ 70° + angle y + 120° + 110° = 360°

➡ 300° + angle y = 360°

➡ angle y = 360° - 300°

➡ angle y = 60°

hence, x = 70° and y = 60°

Answer 2

♋Your Answer♋

⏩ x= 60° , y =70°

______________________________

Explanation-

●since PQRS is a trapezium sum of adjacent angle is always 180°

》P + S = 180°

》110° + x = 180°

》x = 180° - 110°

》x = 70°

||arly

》Q + R = 180°

》120° + y = 180°

》y = 180° - 120°

》y = 60°

♡♡♡Thnx♡♡♡