IXL | Write and solve equations using angle relationships

Look at the diagram.

Which equation can be used to solve for

180

Solve for

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Learn with an example

question

Look at the diagram.

Which equation can be used to solve for

–

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

This equation models the relationship:

(

–

)

23 and

–

are like terms, and they combine to make 18. So, you can use this equation to solve for

Now, solve for

Subtract 18 from both sides

Divide both sides by 7

Looking for more? Try this:

$Confetti$

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Teacher tools

Work it out

Not feeling ready yet? These can help:

P.2Find measures of complementary, supplementary, vertical, and adjacent angles

M.8Solve two-step equations

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