We want to find the value of x and the measures of the angles for the given triangle.
To do this, we will use the Triangle Angle-Sum Theorem. This theorem says that the measures of the interior angles of a triangle must add to 180^(∘).
Applying the theorem, we can create an equation by adding the given expressions and setting the sum equal to 180. Be aware that one of the angles is a right angle, and therefore its measure is 90.
x+ 2x+ 90=180
Let's solve the equation for x.
Now that we know the value of x, we can substitute x=30 into the given expressions to find the angle measures of the triangle.
x ⇒ & 30&=30
2x ⇒ &2(30)&=60
