Question

In the given figure, if TU ∥ SR and TR ∥ SV, then find ∠a and ∠b.

Answer 1

Answer:

TR II SV

With TA as transversal, <RTA= <TAV= 90° [opp. int. <]

In triangle VAU, <VUT= <UVA+<UAV [ext. < property of triangles]

<a= 25°+90°

<a= 115°

TU II SR

With TR as transversal, <ATR=<TRP=90° [opp. int. <]

<PRQ= 180°-90°= 90°

<RPQ+<PRQ+<RQP= 180° [< sum property of triangles]

<b + 140°= 180°

<b= 180°-140°

<b= 40°