Question

Find the value of the indicated angles. PLEASE HELP!!

Answer 1

Part 1) The measure of the angle is 47°

Part 2) The measure of the angle is 52°

Explanation:

Part 1)

we know that

The inscribed angle is half that of the arc it comprises.

we have that

(12y-1)°=(9y+11)° ----> because the arc that the inscribed angles comprise is the same

Solve for y

12y-9y=11+1

3y=12

y=4°

Find the measure of the angle

(12y-1)°=12(4)-1=47°

Part 2)

we know that

The inscribed angle is half that of the arc it comprises.

we have that

2(3m+2)°=(4m+20)° ----> because the arc that the inscribed angles comprise is the same

Solve for m

6m+4=4m+20

6m-4m=20-4

2m=16

m=8

Find the measure of the angle

(4m+20)°=4(8)+20=52°