Question

solve for x. *
your answer
60°
40°
70°
70°
70°
70°

Explanation:

Step1: Recall the sum of exterior angles of a polygon

The sum of exterior angles of any polygon is \(360^{\circ}\).

Step2: Set up the equation

We have the exterior angles \(60^{\circ}\), \(40^{\circ}\), \(70^{\circ}\), \(70^{\circ}\), \(70^{\circ}\) and \(x^{\circ}\). So, \(60 + 40+70 + 70+70+x=360\).

Step3: Simplify the left - hand side

\(60+40 = 100\), and \(70\times3=210\). Then \(100 + 210+x=360\), which simplifies to \(310+x=360\).

Step4: Solve for \(x\)

Subtract \(310\) from both sides: \(x=360 - 310\).

Answer:

\(x = 50\)