IXL - Transversals of parallel lines: find angle measures (Geometry practice)

or

Look at this diagram:

H

I

J

K

L

M

N

O

If

IK

and

LN

are parallel lines and

m

KJM

= 61°, what is

m

IJM

?

°

ref_doc_title.

or

Learn with an example

question

Look at this diagram:

M

N

O

P

Q

R

S

T

If

NP

and

QS

are parallel lines and

m

QRT

= 124°, what is

m

SRT

?

°

key idea

The measures of supplementary angles add up to 180°.

solution

Find QRT and SRT.

M

N

O

P

Q

R

S

T

QRT and SRT are supplementary angles, so their measures add up to 180°.

m

QRT + m

SRT = 180°

Substitute m

QRT = 124° and solve.

124° + mSRT	=	180°

mSRT	=	180° - 124°

mSRT	=	56°

Looking for more? Try these:

Lesson: Transversals of parallel lines

Lesson: Vertical angles

or

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Teacher tools

Work it out

Not feeling ready yet? These can help:

D.3Transversals: name angle pairs

C.4Find measures of complementary, supplementary, vertical, and adjacent angles

Lesson: Transversals of parallel lines

Lesson: Vertical angles