Q. 34.4( 22 Votes )

# In the figure, PQRS is an isosceles trapezium; ∠SRP = 30°, and ∠PQS = 40°. Calculate the angles ∠RPQ and ∠RSQ.

Answer :

Given:

**PQRS** is an **Isosceles Trapezium**.

**∠****SRP = 30 ^{0}**

**∠****PQS = 40 ^{0}**

From the figure, we can say that,

⇒ **∠****PQS =** **∠****RSQ** (alternate angles on both sides of traversal line)

So, **∠****RSQ = 40 ^{0}**.

Also,

⇒ **∠****SRP =** **∠****RPQ** (alternate angles on both sides of traversal line)

So, **∠****RPQ = 30 ^{0}**.

The values of **∠****RSQ** and **∠****RPQ** is**40 ^{0}** and

**30**.

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