Question

find the value of x. then find the measure of each angle and write the answers in ascending order.
(2x)°
(4x)°
(3x)°
x =
,
°
,
°
,
°

Explanation:

Step1: Use triangle angle sum theorem

The sum of angles in a triangle is \(180^\circ\). So, \(2x + 3x + 4x = 180\).

Step2: Combine like terms

\(9x = 180\).

Step3: Solve for x

Divide both sides by 9: \(x=\frac{180}{9}=20\).

Step4: Find each angle

• \(2x = 2\times20 = 40^\circ\)
• \(3x = 3\times20 = 60^\circ\)
• \(4x = 4\times20 = 80^\circ\)

Answer:

\(x = 20\)
Angles (ascending order): \(40^\circ\), \(60^\circ\), \(80^\circ\)