Question

find the measure of angle a.
c = 21.8° a = ?° a =
round to the nearest tenth.

Explanation:

Step1: Use the angle - sum property of a triangle

The sum of angles in a triangle is \(180^{\circ}\). Let \(\angle A=x\), \(\angle B = 60^{\circ}\), \(\angle C=21.8^{\circ}\).
The formula is \(x+\angle B+\angle C=180^{\circ}\).

Step2: Solve for \(x\) (angle \(A\))

Substitute the values of \(\angle B\) and \(\angle C\) into the formula:
\(x=180^{\circ}-\angle B - \angle C\)
\(x=180^{\circ}-60^{\circ}-21.8^{\circ}\)
\(x = 98.2^{\circ}\)

Answer:

\(98.2\)