To do this, we will first find the value of x by using the Triangle Angle-Sum Theorem. This theorem tells us that the measures of the interior angles of a triangle add to 180^(∘). Let's create an equation applying this theorem. Be aware that one of the angles is marked as a right angle, and therefore it measures 90^(∘).
x+(3x+2)+ 90=180
We will now solve the equation for x.
Now that we know the value of x, we can substitute x=22 into the given expressions to find the measures of the acute angles.
x ⇒ & 22 &= 22
3x+2 ⇒ &3(22)+2 &= 68
