Since the two angles are equal, hence the angles B and angle 2 are congruent.
Congruent triangles are triangles that are similar to each other
Since the sum of the interior angles of a triangle is 180°, then
m∠B + 50° + 65° = 180°
Determine the value of <B
m∠B = 180° - (50° + 65°)
m∠B = 180° - 115°
m∠B= 65°.
Similarly, the sum of angle on a straight line is 180 degrees
m∠2 + 50° + 65° = 180°
m∠2 = 180° - (50° + 65°)
m∠2 = 180° - 115°
m∠2= 65°
As we can see that the two angles are equal, hence the angles B and angle 2 are congruent.
Learn more on congruent angles here; https://brainly.com/question/2938476
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