Question

Write a paragraph proof for the following conjecture.

Given: QS bisects ∠PQR .
m PQS ∠ =° 45 .

Prove: PQR is a right triangle.

Answer 1

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Answer 2

Answer:

∠PQR is a right angle

Step-by-step explanation:

Given: QS bisects ∠PQR .

m PQS ∠ = 45°

QS bisect ∠PQR

=> ∠PQS = ∠RQS

∠PQR = ∠PQS + ∠RQS

putting ∠RQS = ∠PQS

=> ∠PQR =∠PQS + ∠PQS

=> ∠PQR = 2∠PQS

putting m PQS ∠ = 45°

=> ∠PQR = 2 * 45°

=> ∠PQR = 90°

=> ∠PQR is a right angle

QED

Proved