Question

find the value of x and 3x.
3x=

x=

Explanation:

Step1: Use the sum of interior angles of a polygon formula

The sum of interior angles of a polygon is \((n - 2)\times180^{\circ}\), where \(n\) is the number of sides. Here \(n = 6\), so the sum is \((6 - 2)\times180^{\circ}=720^{\circ}\).

Step2: Set up the equation

We have \(x + 135+3x + 45+135+45=720\).
Simplify the left - hand side: \(4x+360 = 720\).

Step3: Solve for \(x\)

Subtract \(360\) from both sides: \(4x=720 - 360\), so \(4x = 360\).
Divide both sides by \(4\): \(x=\frac{360}{4}=90\div1 = 45\).

Step4: Calculate \(3x\)

Multiply \(x\) by \(3\), \(3x=3\times45 = 135\).

Answer:

\(x = 45\), \(3x=135\)