Answer:
The correct option is D.
Step-by-step explanation:
From the given figure it is clear that the measure of angle A is 45° and the measure of angle C is 15°.
According to the angle sum property of triangles, the sum of interior angles of a triangle is 180°. It means in triangle ABC,
[tex]\angle A+\angle B+\angle C=180^{\circ}[/tex]
[tex]45^{\circ}+\angle B+15^{\circ}=180^{\circ}[/tex]
[tex]\angle B+60^{\circ}=180^{\circ}[/tex]
[tex]\angle B=180^{\circ}-60^{\circ}[/tex]
[tex]\angle B=120^{\circ}[/tex]
The measure of angle B is 120°. Therefore the correct option is D.
