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Angles Pre-Test Worksheet

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Angles Pre-Test Worksheet

Mason and Tahnee are setting up the school radio studio. Solve each geometry challenge. Show working where asked. Angles are measured in degrees.

Angle facts and reasoning

1.Mason opens a studio door through 128°. What type of angle is this?

Acute
Right
Obtuse
Reflex

2.A microphone boom turns through 42°. Find the size of the angle needed to complete a right angle.

3.Two cables meet at a point on a straight support. One angle is 67°. Calculate the adjacent angle on the straight line and state the angle fact you used.

4.Two straight cables cross. One of the angles is 74°. What is the size of the vertically opposite angle? Explain briefly.

5.The studio's triangular acoustic panel has two interior angles of 48° and 71°. Find its third interior angle. Show your calculation.

Apply angle relationships

6.Parallel rails cross a diagonal cable. A corresponding angle is 112°. What is the size of the corresponding angle at the other parallel rail?

7.A sound reflector is a regular hexagon. Calculate the size of each interior angle. Use the interior-angle sum formula or explain your method.

8.A studio spotlight turns clockwise from north to point directly east. What is its bearing, written as a three-digit angle measured clockwise from north?

9.Mason says, “If two angles add to 180°, they must be adjacent angles on a straight line.” Is his statement always true? Explain using the meaning of supplementary angles.

10.At a point inside the sound-mixing console, three angles around the point are 90°, 135° and 82°. Find the fourth angle.

11.Draw a pair of intersecting lines and label one angle 58°. Mark and label the other three angles. Write the measures of all four angles.