Question

Find the value of x.
Pleaseeee I needddd helpppp!!!!!!

Answer 1

x = 40

Explanation:

Measure of an external angle of a circle = ½(difference of the intercepted arcs)

This means that:

½(PQ - RS) = m<T

m<T = x/2

PQ = (x + 70)°

RS = (x + 30)°

Plug in the values

½((x + 70) - (x + 30)) = x/2

½(x + 70 - x - 30) = x/2

½(x - x + 70 - 30) = x/2

½(0 + 40) = x/2

½(40) = x/2

20 = x/2

Multiply both sides by 2

20*2 = x

40 = x

x = 40