Question

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

Answer 1

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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Answer 2

Hello!
Out of the following options the correct answer is:
6 cm

Hope i helped!
-Cupcakegurl