The measure of angle B is 145 degrees angle.
This is because of the vertical angles theorem.
What is the vertical angle theorem?
This theorem says that when two straight lines intersect, they form two sets of linear pairs with congruent angles. It also means that the adjacent angles formed by the intersection of these two lines are supplementary, or equal to 180 degrees.
No matter what, every vertical angle, in this case, angles D and B, will always have the same number of measures.
To illustrate, if D is congruent to B, then they have the same measure meaning that the measurement of B is equal to the measurement of D. Thus, meaning that B is equal to 145 degrees.
To learn more about the vertical angle visit:
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