For what value of x is line m parallel to line n?

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The 65 angle and the 3x+5 angle are corresponding angles and as such they are congruent

65=3x+5
60 = 3x
x= 20

ANSWER



EXPLANATION

If line m is parallel to line n, then the line that intersects line m and n is called a transversal.

In the given diagram, the

angle corresponds to


angle.

These two angles are equal by the corresponding angle property of parallel lines.

We can therefore write the following equation and use it to find x.



We group like terms to obtain,



This implies that,



We divide both sides by 3 to get,

I=PRT
90=P*(5%*4)
90=P*0.2
/0.2  /0.2
450=P

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