Question

Fill in each missing step.
Given: mÐPQR = x– 5, mÐSQR = x – 11, and mÐPQS = 100.
Find x.

Answer 1

Drawing not to scale.

mÐPQR +mÐSQR = mÐPQS

a. __________
x– 5 + x– 11 = 100

b. Substitution Property
2x– 16 = 100

c. Simplify
2x = 116

d. __________
x = 58

e. Division Property of Equality

Answer 2

Select one:
a. Angle Addition Postulate; Subtraction Property of Equality
b. Protractor Postulate; Addition Property of Equality
c. Angle Addition Postulate; Addition Property of Equality
d. Protractor Postulate; Subtraction Property of Equality

Answer 3

@johnweldon1993 @989freak @SolomonZelman

can you guys help please ?

Answer 4

Well since we are indeed adding the angles to show that the whole angle is equal to the sum of the 2 smaller angles, the first choice would indeed be Angle Addition Postulate.

Any ideas on the second?

Answer 5

Hint* the correct answer is not provided

in that step, we are dividing, not adding or subtracting

Answer 6

im thinking a ... ?

Answer 7

@johnweldon1993 : so none of the answer choices are correct ?

Answer 8

None of them...if they were "division property of equality " then yes, but nope

Answer 9

well these are my only options & i dont know what to do ...