What is the value of x? Identify the missing justifications. M PQR = x + 7, m SQR = x + 3, and m PQR + m SQR = m PQS = 100

Given equations are:

m PQR = x + 7,

m SQR = x + 3,

and m PQR + m SQR = m PQS = 100

using those equations we need to find value of x.

Plug value of (m PQR = x + 7) and (m SQR = x + 3) into (m PQR + m SQR = m PQS = 100)

(x+7) + (x+3) = m PQS = 100

(x+7) + (x+3) = 100

Remove parenthesis

x+7 + x+3 = 100

Rearrange terms

x + x + 3+7 = 100

Combine like terms

2x+10 = 100

2x = 100 - 10

2x=90

x=90/2

x=45

Hence final answer is x = 45.

1. B

2. D

3. C

4. A

5. B

6. C

7. A

100% Correct