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.

y + 11 = (1/4)(x + 16)

step-by-step explanation: