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

Determine the measure of ∠ .

Quadrilateral BCDE is inscribed in circle A and measure 7085 and 7803 respectively Determine the measure of class=

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Answer:

∠ DEB = 101.97°

Step-by-step 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°

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