Question

if a transversal intersects two parallel lines in the interior angles so formed are (2x- 5) and (3x+20)degree
find x



plz its urgent ​

Answer 1

Since sum of co interior angles is 180

2x-5+3x+20= 180

5x+15=180

x=(180-15)/5

x=55° (ANS)

Answer 2

Given:

A transversal intersects two parallel lines. The interior angles so formed are (2x- 5) and (3x+20)°

To Find:

Value of x

Solution:

as given, two interior angles are (2x- 5)° and (3x+20)°

we know that,

when transversal intersects two parallel lines then sum of two interior angels is 180.

as given, two interior angles are (2x- 5)° and (3x+20)°

∴ (2x- 5)° + (3x+20)°= 180

⇒ 5x + 15 = 180

⇒ 5x = 180 -15

⇒ 5x = 165

⇒ x = 33

put value of x = 33

⇒ (2x- 5)° = 2(33) - 5 = 66 - 5 = 61°

⇒ (3x+20)° = 3(33) + 20 = 99 +20= 119°

Hence, the interior angles are 61° and 119°.