Question

Ahoy!


If angle B and angle Q are acute angles such that sinB = sinQ , then Prove that angleB = angleQ.



A good answer with to the point explaination is required.
Thanks!

Answer 1

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Here's your answer...

sin B = sin Q
Then AC/AB = PR/PQ
By alternendo, AC/PR = AB/PQ
And angle C = angle R
By SSA, triangle ACB and triangle PRQ are similar.
The corresponding angles of similar triangles are always equal.
So angle B = angle Q.

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Answer 2

Answer:

Step-by-step explanation: