Question

Given m || n, find the value of x and y.

X =
(7x+18)º
y =
Do
(9x-14)°
m

Answer 1

• x = 16
• y = 130

Explanation:

You want the values of x and y when corresponding angles at parallel lines are marked (9x -14)° and (7x +18)°, and a vertical angle to those is marked y°.

Corresponding angles

Corresponding angles where a transversal crosses parallel lines are congruent:

(9x -14)° = (7x +18)°

2x = 32 . . . . . . . . . . divide by °, add 14-7x

x = 16

Then these angles are ...

(9(16) -14)° = (144 -14)° = 130°

Vertical angles

Vertical angles are congruent, so ...

y° = 130°

y = 130