Question

Explain the connection between ∠2 and ∠B. A triangle has angle measures 50 degrees, 65 degrees, and B. 2 lines extend from a horizontal line to form 3 angles. The angles are 50 degrees, 2, 65 degrees.

Answer 1

Since the two angles are equal, hence the angles B and angle 2 are congruent.

Congruent triangles

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; brainly.com/question/2938476

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