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1 vote
Given m
n, find the value of x and y.
m
(3x-15)
(y+18)
(6x+6)
n

Given m n, find the value of x and y. m (3x-15) (y+18) (6x+6) n-example-1
User Pierre GM
by
4.7k points

1 Answer

4 votes

Answer:

x = 21

y = 114

Explanation:

From the picture attached,

Lines 'm' and 'l' are the parallel lines and a transversal line is intersecting this line.

Therefore, (3x - 15)° + (6x + 6)° = 180° [Sum of consecutive interior angles is 180°]

9x - 9 = 180°

9x = 189

x = 21

(y + 18)° = (6x + 6)° [Alternate interior angles are equal in measure]

y = 6x + 6 - 18

y = 6x - 12

y = 6(21) - 12

y = 126 - 12

y = 114

User Arnon Axelrod
by
5.2k points