MATH SOLVE

3 months ago

Q:
# Write a paragraph proof for the following conjecture.Given: m∠SQR=55°. m∠PQS=35°.Prove: △PQR is a right triangle.

Accepted Solution

A:

Answer:See explanationStep-by-step explanation:Given: m∠SQR=55°.m∠PQS=35°.Prove: △PQR is a right triangle.Paragraph proof [tex]\begin{array}{ccc}&\text{Statement}&\text{Reason}\\ \\1.&m\angle SQR = 55^{\circ}&\text{Given}\\2.&m\angle PQS = 35^{\circ}&\text{Given}\\3. &m\angle SQR+m\angle PQS=m\angle PQR&\text{Angle Addition Postulate}\\4.&m\angle PQR=55^{\circ}+35^{\circ}&\text{Substitution Property of Equality}\\5. & m\angle PQR=90^{\circ}&\text{Simplify}\\6. &\angle PQR\text{ is a }&\text{right angle }\\&\text{right angle}&\text{d}\\ 7.&\triangle PQR&\triangle\text{d} \end{array}[/tex]Here d means definition