The connection between ∠2 and ∠B is that the measure of both the angles is 65°.
What are Supplementary Angles?
When the sum of two angles measures up to 180° then these angles are known as supplementary angles of each other.
for example, ∠x + ∠y = 180°, therefore, the ∠x and ∠y are the supplementary angles of each other.
Given to us
Angles in the triangle = 50° and 65°
Angles on the line = 50° and 65°
We know that the sum of all the angles of a triangle is 180°. Therefore, the measure of the ∠B,
50° + 65° + ∠B = 180°
∠B = 180° - (50° + 65°)
∠B = 65°
Thus, the measure of the ∠B is 65°.
On the given line, the sum of all the angles will be 180°, because all the angles are supplementary angles, therefore,
∠2 + 50° + 65° = 180°
∠2 = = 65°
Thus, the measure of the ∠2 is 65°.
As we can see that the measure of both the angles is equal to 65°.
Hence, the connection between ∠2 and ∠B is that the measure of both the angles is 65°.
Learn more about Supplementary Angles:
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