Answer:
Maybe congruent
Explanation:
You have two isosceles triangles, one with a marked base angle of 49° and the other marked with an a.pex angle of 82°. One side of one triangle is marked as 11 cm.
Congruence
In order for the triangles to be congruent, corresponding angles must be congruent, and corresponding sides must be congruent.
Angles
Each isosceles triangle has two congruent base angles and an a.pex angle that total 180°. The base angles in the triangle on the right are ...
2x +82° = 180°
2x = 98°
x = 49° . . . . . . congruent with the base angles of the other triangle
Corresponding angles of the triangles are congruent, so the triangles are similar.
Sides
Only one side in the diagram is marked, so we cannot make any claim regarding the measures of corresponding sides in the two triangles. If corresponding sides are congruent in the similar triangles, then the triangles will be congruent.
We can only conclude that the triangles may be congruent.