Practice Parallel Lines And Transversals

Practice Issues

Problem 1

For what value of x will lines l and j be parallel?

Practice Problem Transversals and Angles

Problem 2

Lines P and Five are parallel, what is the value of 10?

Practice Problem Transversals and Angles

The ruddy angles below are alternate exterior ones, they are equal.

This allows u.s.a. to apply the supplementary angles that mensurate (2x) and (3x+xv) to set up up the equation below.

2x+ 3x+15 = 180
5x + xv = 180
5x = 165

ten = $$ \frac{165}{five} = 33 $$

Problem 3

Lines Grand and N are parallel, what is the value of 10?

Practice Problem Transversals and Angles

Problem 4

In the motion-picture show beneath $$ \overline{CD} \parallel \overline{EF}$$ ,$$ \overline{AB}$$ is a transversal, $$ m\angle DGH = 2x $$ and $$ chiliad \angle FHB = 5x-51$$.

Observe the measure, in degrees, of $$ \angle BHE $$.

Practice Problem Transversals and Angles

The darkened angles are respective and are congruent so we can ready the equation:

2x = 5x - 51
-3x = -51
x = $$\frac{-51}{-3} $$
x = 17

Now, that nosotros know the value of 10, we can determine the measure of the entire darkened bending:

angle's measurement = 5x -51 = 5(17) -51 = 34
$$m \angle H $$ = 180 - 54 = 146 (because they are supplementary)

Respond: 146

Angles formed past a transversal
Angles of a Transversal and Parallel lines
Transversal angles practice #2