Question

Please give the explanation also

Answer 1

Answer:

your ans is option a---->30°

Answer 2

★ Solution :-

In the question, we are given with two lines which are parallel to each other and a transversal line is passing through them. We are given with the measurement of an angle at the left top of the transversal and then another angle at right bottom of the transversal line.

In the figure attached in the answer we are also given with another angle named y. We can say that it is the same as 110° because the both angles are vertically opposite to each other. So,

$\sf \leadsto \angle{y} = {110}^{ \circ}$

To find the value of the variable x, we use and other method, known as the interior angles of the same side of transversal.

$\sf \leadsto (3x - 20) + \angle{y} = {180}^{ \circ}$

$\sf \leadsto (3x - 20) + {110}^{ \circ} = {180}^{ \circ}$

$\sf \leadsto 3x - 20 = 180 - 110$

$\sf \leadsto 3x - 20 = 70$

$\sf \leadsto 3x = 70 + 20$

$\sf \leadsto 3x = 90$

$\sf \leadsto x = \dfrac{90}{3}$

$\sf \leadsto x = 30$

Therefore, the value of x is 30°. So, Option(A) is the right answer.