Question

Find angle measures and arc measures

Answer 1

Explanation:

a. We know that KH is a diameter of the circle and that along angles along it on either side adds up to 180° as it's a straight line.

-Therefore, we have that:

`m\angle a+ \angle GaH=180\textdegree\\\\\\m\angle a=180-35\\\\=145\textdegree`

Hence, the angle a is equal to 180°

b.We know that GJ is a diameter of the circle and that along angles along it on either side adds up to 180° as it's a straight line.

-Therefore, we have that:

`m\angle b+\angle GaK=180\textdegree\\\\m\angle b=180\textdegree -145\textdegree\\\\\\\\=35\textdegree`

Hence, the angle b is equal to 35°