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lublana

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.

netlarue98

Answer:

Angle Addition Postulate and Subtraction Property of Equality

Step-by-step explanation:

It is shown that mPQR and m SQR  are being added together to make mPQS. Substitute, which is listed as the next step, then simplify, You have to SUBTRACT 10 from both sides. It is finished when division is done to simplify to x=45.

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