Question

How can I find the value of the angles?

Answer 1

y = 46°

This is because alternate angles are equal so y is equal to 46°.

x = 54°

We first need to find the other angle inside the triangle by adding 46 and 54 to get 100, and then subtracting that from 180 to get 80 as angles on a straight line add to 180°.

Then we can add 80 and 46 to get 126, and subtract 126 from 180 to get 54, as angles in a triangle add to 180°.

w = 126°

This is because angles on a straight line add to 180°, so we need to subtract 54 from 180 to get 126.

z = 148°

This is because you first find the co-interior angle above z by doing 180 - 32 = 148 as co-interior angles add to 180°. This angle is then vertically opposite to z, which makes it equal to z.

I hope this helps!