Respuesta :
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