Question

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

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 \(x\), \(51^{\circ}\), and \(58^{\circ}\). Then \(x + 51+58=180\).

Step3: Solve the equation for \(x\)

First, add 51 and 58: \(51 + 58=109\). Then the equation becomes \(x+109 = 180\). Subtract 109 from both sides: \(x=180 - 109\).
\(x = 71\)

Answer:

71