Question

Question 7: Find the value of x. The numbers below are in degrees. 140 S 50 20

Answer 1

Given:

A figure.

To find:

The value of x.

Solution:

Draw two parallel lines as shown in the below figure.

If a transversal line intersect two parallel lines, then alternate interior angles are same.

$a=20$              (Alternate interior angle)

$d=b$              (Alternate interior angle)           ...(i)

The value of angle d is

$d=50-a$

$d=50-20$

$d=30$

Using (i), we get

$b=30$

If a transversal line intersect two parallel lines, then same sides interior angles are supplementary angles.

$c+140=180$

$c=180-140$

$c=40$

Now,

$x=b+c$

$x=30+40$

$x=70$

Therefore, the value of x is 70.