Question

Geometry - Triangles > Interior angles of a trlangle 20. The three angles of a triangle measure x°, yº and 17. Which of the following statements must be true? y=180- x+y=17 y+x= 180 - 17 y=x+ 17

Answer 1

Given:

Three angles of a triangle are x°, y° and 17°.

The objective is to select the correct statement.

By the angle sum property of triangle, the sum of all the angles of a triangle will be 180°.

Then, the sum of given three angles will be,

`\begin{gathered} x\degree+y\degree+17\degree=180\degree \\ x\degree+y\degree=180\degree-17\degree \end{gathered}`

Hence, the correct statement is y+x=180-17.