Two parallel lines are cut by a transversal. One pair of co-interior angles (interior angles on the same side of the transversal) measure (3x + 20)° and (2x + 10)°. What is the value of x?

Question

Accepted Answer

30°. Co-interior angles between parallel lines are supplementary, so (3x + 20) + (2x + 10) = 180, giving 5x + 30 = 180 and x = 30. Check: the angles are 110° and 70°, which add to 180°.

Two parallel lines are cut by a transversal. One pair of co-interior angles (interior angles on the same side of the transversal) measure $(3 x + 20)$ ° and $(2 x + 10)$ °. What is the value of $x$ ?

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Two parallel lines are cut by a transversal. One pair of co-interior angles (interior angles on the same side of the transversal) measure (3x+20)° and (2x+10)°. What is the value of x?

Step-by-Step Solution

Master this topic in 30 minutes a day.

More Geometry practice

Two parallel lines are cut by a transversal. One pair of co-interior angles (interior angles on the same side of the transversal) measure $(3 x + 20)$ ° and $(2 x + 10)$ °. What is the value of $x$ ?