Question

find the measures of the angles of a triangle with angles measuring 110 and 45. also, what kind of triangle is it?

Explanation:

Step1: Recall angle - sum property

The sum of the interior angles of a triangle is 180 degrees. Let the three angles of the triangle be \(A\), \(B\), and \(C\). So \(A + B+C=180^{\circ}\). Given \(A = 110^{\circ}\) and \(B = 45^{\circ}\).

Step2: Calculate the third angle

We find \(C\) by substituting the known values into the formula: \(C=180-(110 + 45)\). First, calculate \(110+45 = 155\). Then \(C=180 - 155=25^{\circ}\).

Step3: Classify the triangle

Since one of the angles (\(110^{\circ}\)) is greater than 90 degrees, the triangle is an obtuse - angled triangle.

Answer:

The third - angle measure is 25 degrees. It is an obtuse - angled triangle.