IXL | Transversals of parallel lines: find angle measures | 8th grade math

or

Look at this diagram:

L

M

N

O

P

Q

R

S

If

MO

and

PR

are parallel lines and

m

MNQ

= 58°, what is

m

ONL

?

°

ref_doc_title.

or

Learn with an example

question

Look at this diagram:

R

S

T

U

V

W

X

Y

If

SU

and

VX

are parallel lines and

m

XWY

= 115°, what is

m

VWY

?

°

key idea

The measures of supplementary angles add up to 180°.

solution

Find XWY and VWY.

R

S

T

U

V

W

X

Y

XWY and VWY are supplementary angles, so their measures add up to 180°.

m

XWY + m

VWY = 180°

Substitute m

XWY = 115° and solve.

115° + mVWY	=	180°

mVWY	=	180° - 115°

mVWY	=	65°

Looking for more? Try these:

Lesson: Transversals of parallel lines

Lesson: Vertical angles

or

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Work it out

Not feeling ready yet? These can help:

Find measures of angles: multi-step problems

Lesson: Transversals of parallel lines

Lesson: Vertical angles