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Missing Angles Worksheet
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Missing Angles Worksheet
Help Florence and Maryam check the angles on the festival stage plans. Use these facts: angles on a straight line total 180°, angles around a point total 360°, and angles in a triangle total 180°. Show your working where you can.
Angles on a straight line
Angles that sit together on a straight line add up to 180°.
1.At the edge of the stage, two adjoining angles form a straight line. One angle is 68°. Find the missing angle.
2.Amelia spots three adjoining angles on a straight lighting bar: 42°, 91° and x°. What is x?
- 37°
- 47°
- 53°
- 137°
3.True or false? If one angle on a straight line is 125°, the adjoining angle is 55°.
TrueFalse
Angles around a point
All the angles meeting at one point add up to 360°.
4.Four beams meet at a spotlight hub. Their angles are 90°, 76°, 105° and x°. Work out x.
5.At a point beside the mixing desk, two angles are 148° and 92°. The two remaining angles are equal. Find each of the equal angles.
6.Complete the calculation for three angles around a point: 134° + 87° + = 360°.
Angles in triangles
The three interior angles in every triangle add up to 180°.
7.A triangular banner has angles of 54° and 73°. Calculate its third angle.
8.A triangular sign has one right angle and another angle of 38°. What is its third angle?
- 42°
- 52°
- 62°
- 142°
9.A triangular flag is isosceles: its two equal angles are each x°, and its third angle is 44°. Find x. Show your calculation.
10.Florence says a triangle with angles 35°, 65° and 90° is possible. Is she correct? Explain using the angle total.
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