Question

problem 15: find the measures of the angles of a right triangle with one angle measuring 45. (first taught in lesson 30) after you enter your answer press go.

Explanation:

Step1: Recall right - triangle property

A right - triangle has one angle of 90 degrees.

Step2: Use angle - sum property of triangles

The sum of angles in a triangle is 180 degrees. Let the three angles be \(A\), \(B\), and \(C\). We know \(C = 90^{\circ}\) and \(A=45^{\circ}\). Then \(A + B + C=180^{\circ}\), so \(45^{\circ}+B + 90^{\circ}=180^{\circ}\).

Step3: Solve for the third angle

\(B=180^{\circ}-90^{\circ}-45^{\circ}=45^{\circ}\).

Answer:

45, 45, 90