Question

In the following figure,

1. ∠TPQ = ∠ _____ + ∠ _____.
2. ∠UQR = ∠ _____ + ∠ _____.
3. ∠PRS = ∠ _____ + ∠ _____.

Answer 1

In the following figure,

1. ∠TPQ = ∠PQR + ∠PRQ.
2. ∠UQR = ∠QRP + ∠QPR.
3. ∠PRS = ∠RPQ + ∠RQP.

Explanation:

i. PQR, PRQ: ∠TPQ = ∠PQR + ∠PRQ  ...[Exterior angle property] 

ii. QPR, QRP: ∠UQR = ∠QPR + ∠QRP  ...[Exterior angle property] 

iii. RPQ, RQP: ∠PRS = ∠RPQ + ∠RQP  ...[Exterior angle property]