Question

Find x in the following figure

Answer 1

as answer not given is equal on both sides so x=40°

Answer 2

✨Answer:

x = 40 degree.

✨ Step-by-step explanation:

In this fig vertical opposite angles will be equal.

✔️In triangle 1, the vertex angle

= 180 - (2x + 2x - 10)

(sum of all angles of triangle is 180 degree)

✔️In triangle 2, vertex angle =

180 - (x + 2x + 30)

(sum of all angles of triangle is 180 degree).

▶️Equating both values of vertex angles

(the vertex angles ie the angles formed at the point of intersection, are vertical opp angles so they will be equal)

➡️180 - (2x + 2x - 10) = 180 -(x +2x+30)

➡️180 - (4x - 10) = 180 - (3x + 30)

➡️180-180 - (4x - 10) = - (3x + 30)

➡️-(4x - 10) = - (3x + 30)

➡️ 4x - 10 = 3x + 30

➡️ 4x - 3x = 30 + 10

➡️. x = 40

Hence value of x is 40 degree