Question

a triangle has interior angle measures of 3x, 45°, and 2x. what is the value of x? write your answer as an integer or as a decimal rounded to the nearest tenth. x = \boxed{\space}° submit

Explanation:

Step1: Recall triangle angle sum

The sum of interior angles in a triangle is \(180^\circ\). So, \(3x + 45 + 2x = 180\).

Step2: Combine like terms

Combine \(3x\) and \(2x\) to get \(5x + 45 = 180\).

Step3: Solve for x

Subtract 45 from both sides: \(5x = 180 - 45 = 135\). Then divide by 5: \(x=\frac{135}{5}=27\).

Answer:

\(27\)