Question

the diagram shows a triangle with angles 33°, 61°, and ( x + 21^circ ). what is the value of ( x )? ( x = \boxed{}^{circ} ) submit

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \(33^\circ + 61^\circ + (x + 21)^\circ = 180^\circ\).

Step2: Simplify the left - hand side

First, add the known angles: \(33+61 + 21=115\). So the equation becomes \(x + 115=180\).

Step3: Solve for x

Subtract 115 from both sides: \(x=180 - 115\).

Answer:

\(x = 65\)