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g100num [7]
3 years ago
9

What is the value of x? Identify the missing justifications

Mathematics
1 answer:
Naddika [18.5K]3 years ago
5 0

Answer:

B. Angle Addition Postulate; Subtraction Property of Equality

Step-by-step explanation:

<u>Given:</u>

m\angle PQR=x+7\\ \\m\angle SQR=x+3\\ \\m\angle PQR+m\angle SQR=m\angle PQS=100^{\circ}

<u>Find:</u> x

<u>Solution:</u>

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

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