Question

10. ABD is a straight line. ABC is an isosceles triangle, where AC=BC. Find the size of the angle x.

Diagram not drawn to scale

Answer 1

x = 48°

Explanation:

Angle ABC = 180 - 114

= 66° (sum of adjacent angles on a straight line)

Since ABC is an isosceles triangle, angle ABC = angle BAC = 66°

x = 180 - 66 - 66

= 48° (sum of angles in a triangle)