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Find the value of x.

Find the value of x.-example-1
User Kdhp
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1 Answer

18 votes
18 votes

Answer:

x = 8

Explanation:

You want to know the value of x in an expression for an angle measure at parallel lines.

Angles at a transversal

Where at transversal crosses parallel lines, all acute angles created are congruent, all obtuse angles created are congruent, and the acute angles are supplementary to the obtuse angles.

The angle marked 83° is acute. The angle marked (12x+1)° is obtuse, so these angles are supplementary:
83° +(12x +1)° = 180°

12x +84 = 180 . . . . . . . divide by ° and simplify

12x = 96 . . . . . . . . . . subtract 84

x = 8 . . . . . . . . . . . . divide by 12

The value of x is 8.

User Ryan Mills
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