Question

calculate the value of x in each of the following figures.​

Answer 1

Here,

BAC + x = 120

BAC = 180 - 110

BAC = 70

70 = 120 - x

x = 120 - 70

x = 50

Answer 2

Hello,

Here we go,

In the given figure let BC be a straight line and EC be a transversal on that line.

So,

Angle BCA + angle ACX = 180 ( by linear pair)

Angle BCA + 120 = 180

Angle BCA = 180 -120 = 60°

Similarly,

Angle EAB + Angle BAC = 180° (by linear pair)

Angle BAC = 180-110= 70°

Now in triangle abc,

Angle BAC + angle abc + angle BCA = 180 (sum of all the angles of triangle is 180 degree)

70 + x + 60 = 180

X = 180 - 130

X = 50°

I hope my answer will help you.