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What is the value of x for which m || n?
x = 40
x = 5
x = 105
x = 30

What is the value of x for which m || n? x = 40 x = 5 x = 105 x = 30-example-1
User Penelope
by
8.5k points

2 Answers

6 votes
m || n

3x - 15 = 105
3x = 120
x = 40

answer
x = 40
User Cobey
by
8.1k points
0 votes

Answer:

(A) x=40

Explanation:

Given: It is given that m is parallel to n.

To find: The value of x.

Proof: It is given that m is parallel to n, from the figure it can be seen that 105° and (3x-15)° forms alternate exterior angles which are equal in measure because m is parallel to n.

Thus,
105^(\circ)=3x-15^(\circ)


105^(\circ)+15^(\circ)=3x


120^(\circ)=3x


(120)/(3)=x


x=40

Thus, the value of x is 40, hence option A is correct.

User Vovahost
by
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