Question

Find angles in triangles Find the value of r in the triangle shown below

Answer 1

The given triangles has angles

`\begin{gathered} \angle1=33º \\ \angle2=114º \\ \angle3=xº \end{gathered}`

To determine the measure of the missing angle, you have to remember that the sum of the inner angles of a triangle is equal to 180º so that:

`\angle1+\angle2+\angle3=180º`

Replace the expression with the given measures:

`33º+114º+xº=180º`

And now we can find the measure of the missing angle

`\begin{gathered} 147º+xº=180º \\ xº=180º-147º \\ xº=33º \end{gathered}`

The missing angle has a measure of x=33º