Question

Solve for x. Determine the angles in the triangle.4x + 73x + 13

Answer 1

Recall that the inner angles of a triangle add up 180 degrees, then we can set the following equation for the given triangle:

`\begin{gathered} 4x+7+3x+13+90=180 \\ \end{gathered}`

solving for x we get:

`\begin{gathered} 7x+110=180 \\ 7x=180-110=70 \\ x=10 \end{gathered}`

With the value of x=10, we compute the angles:

4x+7 =47 degrees

3x+13= 43 degrees

Finally the angles of the triangle are:

`47^o,43^o,90^o`