Question

find the measure of angle a. triangle abc with angle at b = 110°, angle at c = 30°, side bc = 12. find a = ?°, c = , b =

Explanation:

Step1: Recall triangle angle sum property

The sum of the interior angles of a triangle is \(180^\circ\). Let the measure of angle \(A\) be \(x\). So, \(x + 110^\circ+ 30^\circ= 180^\circ\).

Step2: Solve for \(x\)

Simplify the equation: \(x + 140^\circ= 180^\circ\). Subtract \(140^\circ\) from both sides: \(x = 180^\circ - 140^\circ\).

Answer:

\(40\)