Question

Find the value of k the diagram is not to scale
○ 42
○ 70
○ 118
○ 58

Answer 1

70°

Explanation:

Total angles of a triangle = 180°

Then, 180° = 58° + 52° = k

➟ 180° = 58° + 52° = k

➟ 180° - 180° + k =180° - (58° + 52°)

➟ k = 180° - 110°

➟ k = 70°

Answer 2

70

Explanation:

We can actually solve this based on two “rules” that are present in triangles and lines.

The first rule is that the three angles inside a triangle will always add up to 180.

In this case, we have 2 out of 3 angles given like so: 52 + 58 + k = 180

Solve for k and that gives 70

Another rule that reinforces this is that a straight line will have an angle of 180 degrees. With the 180 that is given, we can solve for k again using: 110 + k = 180