The measure of angle B is : 46°
What is a parallelogram?
A parallelogram is a quadrilateral with four sides and four angles.
The opposite sides of this parallelogram are parallel and the opposite angles are equal.
Analysis:
From the definition above, a parallelogram has opposite angles equal, which means ∠D = ∠B
Consider ΔACD
∠A + ∠C + ∠D = 180( angles in a triangle)
∠D + 98 + 36 = 180
∠D + 134 = 180
∠D = 180 - 134 = 46°
Therefore ∠B = 46°
In conclusion, ∠B is 46° because it is an opposite angle to D and opposite angles of a parallelogram are equal.
Learn more about Parallelogram: brainly.com/question/970600
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