Question

the diagram shows a triangle. 103° 41° 2a what is the value of a? a = □°

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \(41^\circ + 103^\circ + 2a = 180^\circ\).

Step2: Simplify the left side

Calculate \(41 + 103 = 144\). So, \(144^\circ + 2a = 180^\circ\).

Step3: Solve for \(2a\)

Subtract \(144^\circ\) from both sides: \(2a = 180 - 144 = 36^\circ\).

Step4: Solve for \(a\)

Divide both sides by 2: \(a = \frac{36}{2} = 18^\circ\).

Answer:

\(18\)