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Angles in a quadrilateral

Name: _____________________ Date: __________

Show your thinking with numbers, words, or a drawing.

1. Find the missing angle in the quadrilateral, marked with a question mark. The diagram is not drawn to scale.

100°115°?90°Not drawn to scale

2. Find the missing angle in the quadrilateral, marked with a question mark. The diagram is not drawn to scale.

?70°105°60°Not drawn to scale

3. Find the missing angle in the quadrilateral, marked with a question mark. The diagram is not drawn to scale.

80°?90°130°Not drawn to scale

4. Find the missing angle in the quadrilateral, marked with a question mark. The diagram is not drawn to scale.

75°?65°95°Not drawn to scale

5. Find the missing angle in the quadrilateral, marked with a question mark. The diagram is not drawn to scale.

130°110°70°?Not drawn to scale

Answer key · Angles in a quadrilateral

1. 55

The angles in a quadrilateral add up to 360°.

Add the angles you know: 100 + 115 + 90 = 305.

360 − 305 = 55, so the missing angle is 55°.

2. 125

The angles in a quadrilateral add up to 360°.

Add the angles you know: 70 + 105 + 60 = 235.

360 − 235 = 125, so the missing angle is 125°.

3. 60

The angles in a quadrilateral add up to 360°.

Add the angles you know: 80 + 90 + 130 = 300.

360 − 300 = 60, so the missing angle is 60°.

4. 125

The angles in a quadrilateral add up to 360°.

Add the angles you know: 75 + 65 + 95 = 235.

360 − 235 = 125, so the missing angle is 125°.

5. 50

The angles in a quadrilateral add up to 360°.

Add the angles you know: 130 + 110 + 70 = 310.

360 − 310 = 50, so the missing angle is 50°.

Try it together

Choose a question from the printable. Use objects or a drawing to show your thinking, then explain your method to someone at home.

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