Question

find the measure of ∠x in the triangle. (simplify your answer. type an integer or a decimal.) the measure of ∠x is □°

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°.

Step2: Set up an equation

Let the three angles of the triangle be \(x\), 58°, and 61°. Then \(x + 58+61=180\).

Step3: Solve for \(x\)

First, add 58 and 61: \(58 + 61=119\). Then the equation becomes \(x+119 = 180\). Subtract 119 from both sides: \(x=180 - 119\).
\(x = 61\)

Answer:

61