Question

What is the measure of ACE shown in the diagram below? 

A) 65
B) 70
C) 60
D) 75

Answer 1

check the picture below.

Answer 2

D) 75

Step by step explanation:

Since we know that measure of the angle formed by two intersecting secants outside the circle is half the measure of intercepted arcs.

We can see from our diagram that angle ACE is formed by two secants AB and DE intersecting outside of the circle at point C.

`m\angle C =\frac{(\text{major arc-minor arc} )}{2}`

`m\angle C =((180-30))/(2)`

`m\angle C =((150))/(2)`

`m\angle C =75`

Therefore, measure of angle ACE is 75 degrees and option D is the correct choice.