note: the triangles are not drawn to scale.\nare the two triangles congruent?\nchoose 1 answer:\na yes\nb no
note: the triangles are not drawn to scale.\nare the two triangles congruent?\nchoose 1 answer:\na yes\nb no
Answer
Explanation:
Step1: Calculate the third angle of the first triangle
The sum of angles in a triangle is (180^{\circ}). For the first triangle with angles (72^{\circ}) and (63^{\circ}), the third angle is (180-(72 + 63)=45^{\circ}).
Step2: Check congruence using ASA (Angle - Side - Angle) criterion
Both triangles have angles (45^{\circ}), (63^{\circ}) and a side of length (3) between these angles. By the ASA congruence criterion, if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.
Answer:
A. Yes