Question

find the measure of angle a. (equation required) 7)

Explanation:

Step1: Use the triangle angle sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \(5x + 5x+130^{\circ}=180^{\circ}\).

Step2: Solve the equation for \(x\)

Combine like terms: \(10x+130^{\circ}=180^{\circ}\).
Subtract \(130^{\circ}\) from both sides: \(10x = 180^{\circ}-130^{\circ}=50^{\circ}\).
Divide both sides by \(10\): \(x=\frac{50^{\circ}}{10} = 5^{\circ}\).

Step3: Find the measure of angle \(A\)

Angle \(A = 5x\). Substitute \(x = 5^{\circ}\): \(5\times5^{\circ}=25^{\circ}\).

Answer:

\(25^{\circ}\)