If angle B and angle Q are acute angles such that sin B=sin Q,then prove that angle B=angle Q

If angle B and angle Q are acute angles such that sin B=sin Q,then pro

1.	If angle B and angle Q are acute angles such that sin B=sin Q,then prove that angle B=angle Q
Answer» Let there be two triangles ABC and PQR such that angle C=90⁰ and angle R=90⁰now, sinB = AC/AB and SinQ=PR/PQsince, sinB = SinQ ⇒ AC/AB = PR/PQ⇒ AC/PR = AB/PQ and also angleC = angleR⇒ by SAS similarity, ∆ABC is similar to ∆PQRsince corresponding angles of similar triangle are equal ⇒ angleB = angleQ