Question

What is the value of x? Identify the missing justifications

Answer 1

Answer:

B. Angle Addition Postulate; Subtraction Property of Equality

Step-by-step 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