Question

Quadrilateral BCDE is inscribed in circle A. ∠ and ∠ measure 70.85° and 78.03°, respectively.

Determine the measure of ∠ .

Answer 1

∠ DEB = 101.97°

Explanation:

BCDE is a cyclic quadrilateral, whose opposite angles are supplementary, so

∠ BCD + ∠ DEB = 180°, that is

78.03° + ∠ DEB = 180° ( subtract 78.03° from both sides )

∠ DEB = 101.97°