Question

I'm am very confused with this question.

Answer 1

• 103°

Explanation:

• This is a cyclic quadrilateral (all vertices on the same circle)

Opposite angles are supplementary:

• ∠A + ∠C = 180°
• ∠B + ∠D = 180°

Find x:

• x + 5 + x - 7 = 180°
• 2x - 2 = 180°
• 2x = 182°
• x = 91°

Find D:

• ∠D = x - 14°
• ∠D = 91° - 14° = 77°

Find B:

• ∠B = 180° - 77° = 103°