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41 votes
41 votes
Given m || n, find the value of x and y.
(9x-14)⁰
(6x+4)⁰

Given m || n, find the value of x and y. (9x-14)⁰ (6x+4)⁰-example-1
User Pantaziu Cristian
by
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1 Answer

27 votes
27 votes

Answer:

x = 6 , y = 140

Explanation:

(9x - 14) and (6x + 4) are corresponding angles and are congruent , then

9x - 14 = 6x + 4 ( subtract 6x from both sides )

3x - 14 = 4 ( add 14 to both sides )

3x = 18 ( divide both sides by 3 )

x = 6

then

6x + 4 = 6(6) + 4 = 36 + 4 = 40

(6x + 4) and y are same- side interior angles and sum to 180° , so

40 + y = 180 ( subtract 40 from both sides )

y = 140

User Techneaz
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2.9k points