221k views
1 vote
Given m || n, find the value of x and y.

X =
(7x+18)º
y =
Do
(9x-14)°
m

Given m || n, find the value of x and y. X = (7x+18)º y = Do (9x-14)° m-example-1
User Peppo
by
8.1k points

1 Answer

4 votes

Answer:

  • 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.

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

User Some Canuck
by
7.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories