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 53°, 56°, and \(x\). Then \(53 + 56+x=180\).

Step3: Simplify the left - hand side

\(53 + 56=109\), so the equation becomes \(109 + x=180\).

Step4: Solve for \(x\)

Subtract 109 from both sides of the equation: \(x=180 - 109\).
\(x = 71\)

Answer:

71