Using the fact that both triangles are similar, we will conclude that the measure of angle B is 59°.
How to find the measure of angle B?
First, two figures are similar if the figures have the same shape, then the interior angles are all the same in both figures.
Here we know that the two triangles are similar and thus, the internal correspondent angles of the two triangles are equal in measure.
First, there is a common vertex at C, so the angle there is the same for both triangles. We also can see that angles A and D have the same measure, then the angles B and b will also have the same measure.
And we know that the measure of angle b is 59°, then we can conclude that the measure of angle B will also be 59°, so the correct option is the first one.
If you want to learn more about similar figures:
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