Question

Find the value of x and y

Answer 1

x=70

y=20

Explanation:

x=180-110 (because they lie on a straight line)

=70

90+70+y=180 (the interior angle of a triangle is 180)

160+y=180

y =180-160

y =20

Answer 2

x = 70

y = 40

Explanation:

First, we need to find the measure of x.

As x and the angle 110 share a line, they must add up to 180 degrees. This means that the measure of x is 70.

The two ticks on the sides of the triangle indicate that these sides are equal in length. This also means that the corresponding angles will also be equal. This means that both x and the other angle are 70.

This means that we have two of the three angles in the triangle, so we can easily find the third, which is y.

`70+70+y=180\\\\y+140=180\\\\y=40`