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Lady_Fox [76]
3 years ago
10

Need help with this ASAP PLZ

Mathematics
1 answer:
amid [387]3 years ago
6 0

It is given that <u>QS bisects ∠PQR</u>. So, ∠PQS ≈ ∠<u>SQR</u> by the definition of the term bisect. Therefore, m∠PQS <u>=</u> m∠SQR by the angle congruence postulate. It is <u>given</u> that m∠PQS is 45°, so 45° = m∠SQR by the <u>Linear Pair Postulate</u> property of equality. m∠PQS + m∠SQR = m∠PQR by the <u>Angle Additional Postulate</u>, so 45° + 45° = m∠PQR by the substitution property of equality, and simplifying gives 90° = m∠<u>PQR</u>. Therefore, ∠PQR is a <u>right angle</u> angle by the definition of the term right angle.

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