Question

Circle C has intersecting chords AB and DE as shown.

Answer 1

Answer:

x = 30

Step-by-step explanation:

The measure of the chord- chord angle is one half the the sum of the arcs intercepted by the angle and its vertical angle, that is

A

$\frac{1}{2}$ (2x + 10 + x + 20) = 60

B

Multiply both sides by 2 to clear the fraction

2x + 10 + x + 20 = 120, that is

3x + 30 = 120 ( subtract 30 from both sides )

3x = 90 ( divide both sides by 3 )

x = 30