m

Question

m<PQR = x + 7, m<SQR = x + 3, and m<PQR + m<SQR = m<PQS = 100

What is the value of x? Identify the missing justifications. Drawing not to scale.

m<PQR + m<SQR = m<PQS  a.______
x + 7 + x + 3 = 100     b. Substitution Property
2x + 10 = 100   c. Simplify
2x = 90  d._____
x = 45  e. Division Property of Equality

a. Angle Addition Postulate; Addition Property of Equality
b. Angle Addition Postulate; Subtraction Property of Equality
c. Protractor Postulate; Addition Property of Equality
d. Protractor Postulate; Subtraction Property of Equality

anonymous · Answer

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anonymous · Answer

I think it's B or D because first it was 2x + 10 = 100, then it became 2x = 90.

jim_thompson5910 · Answer

The Subtraction Property of Equality is correct for the second blank. So you're on the right track.

anonymous · Answer

Ok, so what's the answer for the first blank, B or D?

jim_thompson5910 · Answer

do you see how angles PQR and SQR combine to form angle PQS ?

anonymous · Answer

Yeah, so it's B?

jim_thompson5910 · Answer

why do you think B

anonymous · Answer

PQR and SQR = PQS so it has to be Angle Addition Postulate. And I got no clue what Protractor Postulate means.

jim_thompson5910 · Answer

you are correct, it is the angle addition postulate

anonymous · Answer

Thank you.

jim_thompson5910 · Answer

the protractor postulate is given in the link below http://www.mcg.net/nelson/CHAT/math/geometry/Geom%20overheads/week7.pdf