Question

find the measure of <a.

Explanation:

Step1: Use the triangle angle - sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \(x + x+2x=180\).

Step2: Solve the equation for \(x\)

Combine like terms: \(4x = 180\). Then \(x=\frac{180}{4}=45\).

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

Since \(\angle A = 2x\), substitute \(x = 45\) into \(2x\). So, \(\angle A=2\times45 = 90^{\circ}\).

Answer:

\(90\)