Question

find the measure of angle a.
c a b
152° 4 18°
c
a
c = 6.1 a = ?° a =

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). Let angles be \(A\), \(B = 18^\circ\), \(C = 152^\circ\).

Step2: Calculate angle \(A\)

Using \(A + B + C = 180^\circ\), substitute \(B\) and \(C\):
\(A + 18^\circ + 152^\circ = 180^\circ\)
Simplify: \(A + 170^\circ = 180^\circ\)
Subtract \(170^\circ\): \(A = 180^\circ - 170^\circ = 10^\circ\)

Answer:

\(10\)