Question

In Circle Q, what is m Hint: It's not 66.

Answer 1

33

Explanation:

The two angles are vertical angles so the angle opposite angle 1 is the same as angle 1 . We will call it angle 1 as well

<1 + <1 + 114 = 180 because it forms a semi circle

2 <1 + 114 = 180

Subtract 114 from each side

2 <1 = 180-114

2 <1 = 66

Divide each side by 2

<1 = 66/2

<1 = 33