Question

Help me plssss
Find m < ABC.

Answer 1

m<ABC = 51

Explanation:

m<ABC = 1/2 arc AC

(5x + 11) = 1/2(16x-26)

x=8

Plug it in

5(8) + 11 = 51

Answer 2

m<ABC=51°

Explanation:

The inscribed angle is half the measure of the intercepted arc. This means that angle ABC=1/2 arc AC

Using this, let's make an equation

5x+11=(1/2)(16x-26)

5x+11=8x-13

11=3x-13

24=3x

x=8

Now go back to angle ABC and substitute for x

5(8)+11=51

m<ABC=51°