IXL - Properties of kites (Geometry practice)

Quadrilateral

is a kite. What is

∠

128°

138°

∠

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Learn with an example

question

Quadrilateral

is a kite. What is

∠

114°

138°

∠

key idea

A kite has exactly one pair of opposite congruent angles.

The interior angle sum of a quadrilateral is 360°.

solution

∠

and

∠

are opposite angles. Also,

∠

and

∠

are opposite angles.

114°

138°

Since

is a kite and

∠

≠

∠

Use the fact that the sum of the interior angle measures of a quadrilateral is 360° to set up an equation and solve for

∠

360°

∠

Substitute

∠

360°

Substitute

∠

Combine like terms

360°

Combine like terms

114°

∠

138°

Plug in

∠

114°

and

∠

138°

360°

Plug in

∠

114°

and

∠

138°

∠

252°

Combine like terms

360°

Combine like terms

∠

Subtract 252° from both sides

108°

Subtract 252° from both sides

∠

Divide both sides by 2

54°

Divide both sides by 2

So,

∠

54°

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