Calculating angles - Geometry (Shape) for year 5 (age 9-10) by ... - Free Printable

Problem Overview:

The task involves calculating the missing angles in given diagrams. The key concept here is understanding that angles on a straight line sum up to 180°. This property will help us find the missing angles.

Step-by-Step Solution:

#### Part 1: Drawing Angles
The first part of the worksheet asks you to draw angles of specific sizes (35°, 70°, 20°, 25°, 55°, 130°, 145°, 115°). This part does not require calculation but rather accurate drawing using a protractor. Since the question focuses on solving the missing angles, we will skip this part and move to the second part.

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#### Part 2: Calculating Missing Angles
The second part involves calculating the missing angles in the provided diagrams. Each diagram shows an angle on a straight line, and we use the fact that angles on a straight line sum to 180°.

##### Diagram a)
- Given angle: 167°
- Missing angle = 180° − 167° = 13°

##### Diagram b)
- Given angle: 57°
- Missing angle = 180° − 57° = 123°

##### Diagram c)
- Given angle: 61°
- Missing angle = 180° − 61° = 119°

##### Diagram d)
- Given angle: 122°
- Missing angle = 180° − 122° = 58°

##### Diagram e)
- Given angle: 47°
- Missing angle = 180° − 47° = 133°

##### Diagram f)
- Given angle: 18°
- Missing angle = 180° − 18° = 162°

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Final Answers:

- a) Missing angle = 13°
- b) Missing angle = 123°
- c) Missing angle = 119°
- d) Missing angle = 58°
- e) Missing angle = 133°
- f) Missing angle = 162°

Boxed Final Answer:

\[
\boxed{13^\circ, 123^\circ, 119^\circ, 58^\circ, 133^\circ, 162^\circ}
\]