Question

the diagram shows a triangle.
what is the value of a?
a = \square^\circ

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \(76^\circ + 2a + 2a = 180^\circ\).

Step2: Simplify the equation

Combine like terms: \(76 + 4a = 180\). Subtract 76 from both sides: \(4a = 180 - 76 = 104\).

Step3: Solve for \(a\)

Divide both sides by 4: \(a = \frac{104}{4} = 26\).

Answer:

\(26\)