Question

a triangle has one angle that is 46.7 degrees. it has another angle that is 43.5 degrees. what is the measure of the other angle?
enter the value. you do not need to enter the units. round to the nearest tenth if necessary.
review the linked section of the prealgebra textbook for problem help

Explanation:

Step1: Recall the sum of angles in a triangle

The sum of the interior angles of a triangle is \(180^{\circ}\). Let the three angles of the triangle be \(A = 46.7\), \(B=43.5\), and \(C\) (the unknown angle). Then \(A + B + C=180\).

Step2: Solve for the unknown angle \(C\)

We can rewrite the formula for \(C\) as \(C = 180-(A + B)\). Substitute \(A = 46.7\) and \(B = 43.5\) into the formula: \(C=180-(46.7 + 43.5)\). First, calculate \(46.7+43.5 = 90.2\). Then \(C=180 - 90.2\).

Answer:

\(89.8\)