Assessment items on a piece of paper, use a protractor and a ruler to construct △abc with ab=6 cm , m∠a=80° , and m∠b=50° . what is ac ? a) 3 cm b) 6 cm c) 9 cm d) 12 cm

We know that the summation of angles of a triangle is 180°. Then we find angle of C by,m∠A + m∠B + m∠C=180° 80° + 50° + m∠C=180°m∠C=180°- 80°+ 50° m∠C=50°Since we now angle of C, we can use Sine Law in solving for ACsinC/AB=sinB/ACsin50°/6 =sin50°/ACAC=6cmTherefore, AC is equal to 6cm.
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