Question

find X in each of the following figuresthere are two part one is force and one is V give the answer separately

Answer 1

(iv)

Given AB = AC

=> angle ABC = angle ACB (angles opposite to equal sides are equal in a isosceles triangles)

Now,

angle ABC = 180 - 120 (Linear pair)

=> angle ABC = 60°

=> angle ACB = angle ABC = 60°

Now,

x + angle ACB + angle ABC = 180° (Angle sum property of a ∆)

=> x + 60 + 60 = 180

=> x = 180 - 120

=> x = 60°

(v)

Now name the triangle as ABC where angle B = x

Now angle C = 180 - 130 (linear pair)

=> angle C = 50°

Angle A = 180 - 100 (linear pair)

=> angle A = 80°

Again, x + angle A + angle B = 180° (angle sum property)

=> x + 80 + 50 = 180°

=> x = 180 - 130

=> x = 50°


Hope it helps dear friend ☺️✌️✌️