Question

Find x in the given figure.

Answer 1

Hey

Here is your answer,

Sum of the three angles = 180°
x + 102° + x + 12° = 180°
2x + 114° = 180°
2x = 180-114
2x = 66
X = 66/3
X = 33

X + 12 = 33 + 12 = 45

Hope it helps you!

Answer 2

Solution :-

I think the answer is to be given according to the figure in the middle.

In the given figure -

Angle O = Angle 102° (because vertically opposite angles are always congruent and hence they are equal)

And,

x + 102° + x + 12 = 180° (All these angles are on a straight line and hence these equal to 180°)

⇒ 2x + 114 = 180

⇒ 2x = 180 - 114

⇒ 2x = 66

⇒ x = 66/2

⇒ x = 33°

So, the value of x is 33°

Answer.