Question

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° .

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 AC
sinC/AB=sinB/AC
sin50°/6 =sin50°/AC
AC=6cm
Therefore, AC is equal to 6cm.

Answer 2

The correct answer for this question is this one:

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 ?

3 cm

6 cm

9 cm

12 cm

If you try to draw the triangle, it forms an isosceles triangle.

side AB has a length of 6cm. Side AB = Side AC. So the length of Side AC is also 6 cm.

Hope this helps answer your question and have a nice day ahead.

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