Question

A, B & C lie on a straight line. D, C & E lie on a different straight line.Angle y = 115° and angle z = 62°.Work out x, explaining each stage of your working in the comment box.

Answer 1

x = 127°

Explanation:

Find the diagram attached

First we need to get <DBC

<DBC =180-y

<DBC = 180-115

<DBC = 65°

The sum of interior angles is equal to exterior

Hence <DBC+ z = x

65+62 = x

x = 127°