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I need help with this problem, does anybody know how to do it?

I need help with this problem, does anybody know how to do it?-example-1
User Roc
by
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1 Answer

6 votes
6 votes

Angle Relationships

Angle relationships, where we're given a diagram containing 2+ parallel lines and a transversal, can tell us a lot about the angles.

Solving the Question

The two angles indicated in the diagram measure 4x + 19 degrees and 6x + 7 degrees.

These two angles form a "Z" pattern, meaning they are on opposite sides of the transversal and opposite sides of the two parallel lines. They are alternate angles.

Alternate angles are always equal. Therefore, we can set up the following equation and solve for x:


4x + 19 = 6x + 7\\19 = 2x + 7\\12 = 2x\\x = 6

Answer

x = 6

User Odinodin
by
2.6k points
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