Question

14.) Solve for x if mZHWO

= 40", mHo is (x - 2) and
mYD is (x + 6).
x=
D
H
W
Y

Answer 1

x = 38

Explanation:

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

`(1)/(2)` (x - 2 + x + 6) = 40 ( multiply both sides by 2 to clear the fraction )

2x + 4 = 80 ( subtract 4 from both sides )

2x = 76 ( divide both sides by 2 )

x = 38