Question

problem 10: 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 angles in a triangle is 180 degrees. Let the three angles be \(A\), \(B\), and \(C\). So \(A + B+C=180^{\circ}\).

Step2: Substitute known angles

Given \(A = 110^{\circ}\) and \(B = 45^{\circ}\). Then \(C=180-(110 + 45)\).

Step3: Calculate the third angle

\(C=180 - 155=25^{\circ}\).

Step4: Classify the triangle

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

Answer:

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