Question

In the diagram below, if < ACD = 48 °, find the measure of < ABD.

Answer 1

d

Explanation:

the opposite angles of a cyclic quadrilateral sum to 180° , that is

∠ ABD + ∠ ACD = 180°

∠ ABD + 48° = 180° ( subtract 48° from both sides )

∠ ABD = 132°