Question

Transversal:
Find the value of x on the attached diagram.

Answer 1

The value of x = 10

Explanation:

From the figure we can see that, AB║CD

And HE is a traversal. Two angles are given. These angles area alternate interior angles which are equal

To find the value of x

Two alternate interior angles are

(3x + 15)° and (5x - 5)°

(3x + 15) = (5x - 5)

5x - 3x 15 + 5

2x = 20

x = 20/2 = 10

Therefore the value of x = 10

Answer 2

x = 10

Explanation:

We are given a diagram with lines AB and CD intersected by a line EH.

Given that the lines AB and CD are parallel, we are to find the value of x.

Since the lines are parallel so the angles are interior alternate angles and are equal to each other.

Therefore, we can write it as:

`( 3 x + 15 ) = ( 5 x - 5 )`

`5 x - 3 x = 15 + 5`

`2 x = 20`

`x = \frac { 20 } { 2 }`

x = 10