Question

8) The value of x from the adjoining figure, if I |l m is

a) 150
b) 10°
c) 190
d) 36​

Answer 1

Answer:

option A

Step-by-step explanation:

5x+x=120

6x=120

x=120/6

x=20

Answer 2

Given:

l is parallel to m

∠1 = $120^{o} - x$

∠2 = $5x$

To find:

The value of x.

Step-by-step explanation:

• Here we need to find the value of x.
• l is parallel to m. The transversal p cuts through these parallel lines.
• We can see that that the two angles 1 and 2 are co-interior angles.

Solution:

$∠1 + ∠2 = 180^{o}$ (The sum of co-interior angles is180 degrees)

Hence,

$120^{o} -x +5x =180^{o}\\\\120^{o} +4x = 180^{o}\\\\4x = 180^{o} - 120^{o}\\\\4x = 60^{o} \\\\x= \frac{60}{4}\\\\x= 15^{o}$

Hence, the value of x is 15 degrees.