Question

S2. Find the measure of the
unknown angles in the given trapezium
S
P
120°
у
60°
Q
R​

Answer 1

Answer:

We know that PQRS is a trapezium.

If we recall the properties of a trapezium, one property states that opposite angles are equal to 180° and adjacent angles are supplementary i.e. they are equal to 180°.

⇒ ∠x+∠y= 180 (Supplementary angles)

⇒∠s+ ∠r= 180 (Adjacent angles)

∠s+ 60= 180

∠s= 180-60

∠s= 120= ∠x

⇒ ∠x+ ∠y= 180

= 120+ ∠y= 180

= ∠y= 180- 120

= ∠y= 60= ∠q

Angle X= 120°

Angle Y= 60°

Hope it helps.

Please mark my answer as BRAINLIEST.