Question

In the figure below, k || h. Find the values of z and x.

Check
m
(3x+19)
zo
80°
Z =
X =

Answer 1

• z = 100
• x = 27

Explanation:

You want the values of z and x, given that z° and 80° are consecutive interior angles at parallel lines, and z° and (3x +19)° are vertical angles.

Consecutive interior angles

Consecutive interior angles are supplementary, so we have ...

z° +80° = 180°

z = 100 . . . . . . . . divide by °, subtract 80

Vertical angles

Vertical angles are congruent, so we have ...

(3x +19)° = 100°

3x = 81 . . . . . . . . . divide by °, subtract 19

x = 27 . . . . . . . divide by 3

The value of z is 100; the value of x is 27.

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