Please help ASAP. Quadrilateral CDEF is inscribed in circle A. If the m∠C = 7x + 11° and m∠E = 7x + 1°, what is the measure of ∠E? A) 95 B) 99 C) 81 D) 85

2 answers
Question:

Please help ASAP. Quadrilateral CDEF is inscribed in circle A. If the m∠C = 7x + 11° and m∠E = 7x + 1°, what is the measure of ∠E?
A) 95
B) 99
C) 81
D) 85

Answers

Answer:The answer is DStep-by-step explanation:∠C + ∠E = 180°(consecutive angles)7x +11° + 7x + 1° = 180° 14x + 12° = 180° 14x = 168° x = 12°∠E = 7x + 1° = 7(12°) + 1 = 85°

Since angle C and angle E are opposite to each other and C and E are vertices of a cyclic quadrilateral, m∠C + m∠E = 180°7x + 11° + 7x + 1° = 180°14x + 12° = 180°14x = 168°7x = 84°∠E = 7x + 1°∠E = 85°Therefore, the answer is option D.I hope this helps! If you have any doubts, feel free to ask.

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