Question

Three straight lines are shown in the diagram.
319°
a
Work out the sizes of angles a, b and c.
Give reasons for your answers.
Diagram not drawn to scale
809

Answer 1

The sizes of angles a, b and c of the diagram not drawn to scale are 50°, 100°, and 30° respectively.

The angles a, b and c are angles in a triangle.

Therefore, the sum of a , b and c should be equals to 180 degrees.

Angle a

let's find angle a using the rule as follow:

• sum of angle at a point is 360 degrees

Therefore,

a = 360 - 310 = 50°

Angle b

let's find angle b using the rule as follow:

• Angle on a straight line is equals to 180 degrees.

Therefore,

b = 180 - 80 = 100°

Angle c

let's find angle c using the rule as follow:

• Sum of angle in a triangle is 180 degrees

Therefore,

c = 180 - 50 - 100 = 30°

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