IXL | Write and solve equations using angle relationships

Look at the diagram.

Which equation can be used to solve for

(

)

(

)

(

)

(

)

180

Solve for

ref_doc_title.

Learn with an example

question

Look at the diagram.

Which equation can be used to solve for

–

128

–

128

Solve for

key idea

Two angles are adjacent if they share a vertex and a side but do not overlap. The measures of adjacent angles add up to the measure of the larger angle they create.

solution

Look at the diagram.

∠

and

∠

are adjacent angles, so their measures add up to the measure of

∠

which is

128

This equation models the relationship:

(

)

128

17 and 36 are like terms, and they combine to make 53. So, you can use this equation to solve for

128

Now, solve for

128

Subtract 53 from both sides

Divide both sides by 5

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Teacher tools

Work it out

Not feeling ready yet? These can help:

Y.5Find measures of complementary, supplementary, vertical, and adjacent angles

T.10Solve two-step equations

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