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

Respuesta :

C1042

Answer:

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°

The measure of ∠E is 85 degrees

How to determine the measure of E?

To calculate the measure of E, we start by calculating the value of x using:

∠C + ∠E = 180° (consecutive angles of cyclic quadrilateral)

So, we have:

7x +11° + 7x + 1° = 180°

Evaluate the like terms

14x + 12° = 180°

Subtract 12 from both sides

14x = 168°

Divide both sides by 14

x = 12°

Recall that:

∠E = 7x + 1°

Substitute 12 for x

∠E = 7(12°) + 1

Evaluate

∠E = 85°

Hence, the measure of ∠E is 85 degrees

Read more about quadrilaterals at:

https://brainly.com/question/1190071