Question

Need help please!

Write a paragraph proof for the following conjecture.

Given: QS bisects < PQR
m < PQS = 45*
Prove PQR is a raight triangle

Answer 1

(1) QS bisecting <PQR implies <PQS = <SQR

(2) <PQS=45 deg and (1) imply <SQR also = 45 deg

(3) from (2) it follows that <PQR = <PQS + <SQR = 45 + 45 deg = 90 deg and therefore the triangle is right-angled