Finding the Missing Angle: Foundation (Year 6) | CGP Plus - Free Printable

I'll solve this problem step by step, finding each missing angle as requested.

First, let me examine the image to understand what I need to find.

The worksheet has three sections:
1. Finding missing angles on a straight line (sum = 180°)
2. Finding missing angles around a point (sum = 360°)
3. Finding missing angles using vertically opposite angles (equal angles)

Let me start with section 1 and work through each problem systematically.

For problem 1a: We have an angle of 155° on a straight line. Since angles on a straight line sum to 180°, the missing angle 'a' = 180° - 155° = 25°.

For problem 1b: We have an angle of 75° and need to find angle 'b'. Again, on a straight line, the sum is 180°, so 'b' = 180° - 75° = 105°.

For problem 2c: We have an angle of 230° around a point. Since angles around a point sum to 360°, the missing angle 'c' = 360° - 230° = 130°.

For problem 2d: We have two angles around a point: 125° and 85°. The sum of all angles around a point is 360°, so 'd' = 360° - 125° - 85° = 150°.

For problem 3e: We have vertically opposite angles. One angle is 50°, so the vertically opposite angle 'e' must also be 50°.

For problem 3f: We have two angles shown: 70° and 45°, and we need to find angle 'f'. Since these are vertically opposite angles, 'f' should be equal to the angle opposite it. Looking at the diagram, 'f' is vertically opposite to the 70° angle, so 'f' = 70°.

Let me double-check my answers to make sure they're correct.

Actually, let me reconsider problem 3f. Looking more carefully at the diagram, there are three angles shown: 70°, 45°, and 'f'. Since vertically opposite angles are equal, and 'f' appears to be vertically opposite to the 70° angle, then 'f' should indeed be 70°.

My solutions are:
- a = 25°
- b = 105°
- c = 130°
- d = 150°
- e = 50°
- f = 70°

These answers follow the geometric principles stated in the worksheet: angles on a straight line sum to 180°, angles around a point sum to 360°, and vertically opposite angles are equal.