Question

QS bisects ∠PQR. If m∠PQS = (5x)⁰ and m∠RQS = (2x + 6)⁰, then what is m∠PQR? Draw a picture and label before solving. *

Answer 1

m∠PQR = (7x + 6)⁰

Explanation:

Please find the diagram in the attachment.

Mathematically, since the angle PQR is bisected by the given line, it means that;

RQS + PQS = PQR

Thus;

PQR = (2x + 6) + 5x

PQR = 2x + 6 + 5x

PQR = 7x + 6

m∠PQR = (7x + 6)⁰