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

The answer is D

Step-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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66answer:

step-by-step explanation:

5   1/4   miles per hour

step-by-step explanation:

15   3/4 / 3 = 5   1/4