Question

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

Explanation:

Step1: Apply the triangle angle sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \(a+(a + 35)+91=180\).

Step2: Simplify the equation

Combine like terms: \(2a+126 = 180\).

Step3: Solve for \(a\)

Subtract \(126\) from both sides: \(2a=180 - 126\), so \(2a = 54\). Then divide both sides by \(2\): \(a=\frac{54}{2}\).

Answer:

\(27\)