Question

Find y of this triangle.

Answer 1

y =52

Explanation:

We know that the angles 4x and 5x make a straight line

4x+5x = 180

9x = 180

Divide by 9

9x/9 = 180/9

x = 20

The three angles of a triangle make 180

y + 48 +4x = 180

y + 48+4(20) =180

y + 48 +80 = 180

Combine like terms

y +128 = 180

Subtract 128 from each side

y + 128-128 = 180-128

y =52