Question

problem 4: complete this sentence with the best of the choices given. if two angles of a triangle are congruent to two angles of another triangle, then the remaining pair of angles are _________. after you pick your answer press go. a. supplementary b. corresponding angles c. adjacent angles d. congruent e. complementary

Explanation:

Step1: Recall angle - sum property of triangles

The sum of the interior angles of a triangle is 180°. Let the first triangle have angles \(A_1\), \(B_1\), \(C_1\) such that \(A_1 + B_1+C_1=180^{\circ}\), and the second triangle have angles \(A_2\), \(B_2\), \(C_2\) such that \(A_2 + B_2 + C_2=180^{\circ}\). If \(A_1 = A_2\) and \(B_1=B_2\), then \(C_1=180^{\circ}-(A_1 + B_1)\) and \(C_2=180^{\circ}-(A_2 + B_2)\). Since \(A_1 = A_2\) and \(B_1 = B_2\), we have \(C_1=C_2\), which means the remaining pair of angles are congruent.

Answer:

D. congruent