What is the measure, in degrees, of the angle marked B?

133

65

68

47

Step-by-step explanation:

According to the Exterior Angle Theorem, the exterior angle of a triangle is equal to the sum of the 2 remote and opposite interior angle.

In this triangle, angle B is the exterior angle (d). The two interior angles are 68 degrees and 65 degrees ( a and b).

Add.

This can also be solved using triangles and supplementary angles.

The angles in a triangle must add to 180 degrees. We have three angles: 68, 65, and an unlabeled angle we can call x.

Subtract x from both sides.

x is on a straight line with B, so they are supplementary and add to 180 degrees.

Subtract 47 from both sides.

Angle B is equal to 133 degrees.