Question

What are the unknown angles?

Answer 1

x = 28°

y= 62°

Explanation:

Trigonometry ratios:

To find x, we can use the ratio Tan.

`\sf Tan \ x = (opposite \ side \ of \ x^\circ)/(adjacent \ side \ of \ x^\circ)\\\\`

`\sf = (7)/(13)\\\\= 0.5385`

`\sf x = tan^(-1) \ (0.5385)\\\\x = 28.30^\circ\\\\x = 28^\circ`

x + y + 90 = 180 {Angle sum property of triangle}\\

28 + y + 90 = 180

y + 118 = 180

y = 180 - 118

y = 62°