Question

Given: Circle k (0) DC // AB AC n DB = 0, m AD =108° Find: mA and m AOB pls help

Answer 1

step 1

Find the measure of angle AOD

we have that

m by central angle

so

m

step 2

Find the measure of angle AOB

we have that

m by form a linear pair

so

mmm

step 3

Find the measure of angle A

I will assume that

mso

In the triangle OAB

we have that is an isosceles triangle

because

OA=OB=radius of the circle

so

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

mmm72+2m2m2mm