Question

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

Explanation:

Step1: Sum of triangle angles

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

Step2: Solve for \(x\)

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

Step3: Find each angle

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

Answer:

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