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 46°, 49°, and \(x\). So, \(46 + 49+x=180\).

Step3: Simplify the left - hand side

\(46 + 49=95\), so the equation becomes \(95 + x=180\).

Step4: Solve for \(x\)

Subtract 95 from both sides of the equation: \(x=180 - 95\).
\(x = 85\).

Answer:

85