Two vertically opposite angles measure 3x +10` and 4x +10`, what is the value of x?

Solution:

As we know that two pairs of angles are formed by two intersecting lines. Vertical angles are opposite angles in such an intersection. Vertical angles are equal to each other.

So the equation we get from the problem:

(4x + 10)^o = (3x + 10)^o

4x - 3x = 10 - 10

x = 0.

Since x = 0, then the value of the angle will be equal to 10^o.

Ans.: 0.