MathsFreePrintable

Missing Angles Worksheet

A free maths worksheet ready for your classroom. Open in Kuraplan to grab the print-ready PDF, customize it for your students, or generate a fresh version in seconds.

Download now

Name:Date:

Missing Angles Worksheet

Help Mei and Dylan check the angles in their robot designs. Use angle facts: angles on a straight line total 180°, angles around a point total 360°, and vertically opposite angles are equal. Show your working where asked.

Warm-up: Spot the Angle Fact

1.Mei sets two robot arms in a straight line. One angle is 128°. What is the adjacent angle?

52°
62°
128°
232°

2.Two robot arms cross. The angle in the top-left position is 67°. What is the vertically opposite angle?

3.At a pivot on Dylan’s robot, three angles around the point are 95°, 140° and x°. Find x.

Decode the Robot Blueprint

Use the angle facts to solve each design clue. Include the calculation, not just the answer.

4.Two adjacent angles on a straight line are (x + 25)° and (2x + 5)°. Find x, then find both angle measures.

5.Two lines cross at the robot’s shoulder joint. A pair of vertically opposite angles are (4x − 8)° and 72°. Find x.

6.True or false? If one angle at the intersection of two straight lines is 113°, each of its two neighbouring angles is 67°. Explain briefly.

Final Design Check

7.Zach-Mae measures three angles around one robot pivot: 2x°, (x + 40)° and 80°. Find x and all three angle measures.

8.A robot’s two crossing support bars make four angles. One angle is 3x° and the angle next to it is (x + 20)°. Find x and state the size of all four angles.