Question

What is the value of x? Identify the missing justifications

Answer 1

B. Angle Addition Postulate; Subtraction Property of Equality

Explanation:

Given:

`m\angle PQR=x+7\\ \\m\angle SQR=x+3\\ \\m\angle PQR+m\angle SQR=m\angle PQS=100^(\circ)`

Find: x

Solution:

1.
`m\angle PQR+m\angle SQR=m\angle PQS` - Angle Addition Postulate

2.
`x+7+x+3=100` - Substitution Property

3.
`2x+10=100` - Simplify

4.
`2x=90` - Subtraction Property of Equality

5.
`x=45` - Division Property of Equality