Question

Find the value of x and y from the following​

Answer 1

Step-by-step explanation:

due to the principle of identical angles on parallel lines when intersected by an inclined line, x is equal to the angle at B on the other side of AB.

in other words it is the supplementary angle to 150° at B.

that means together they are 180°. that is because the sum of all angles around a single point on one side of a line is 180° (because that line can be seen as the diameter of a circle, the point as the center of that circle, and one side of the diameter is a half-circle, which represents 180°).

so,

x = 180 - 150 = 30°

now, for the same principle,

x + y = 70

y = 70 - x = 70 - 30 = 40°