Answer:
The measure of angle B is 33 Degrees.
Step-by-step explanation:
The triangles are said to be similar. then their corresponding angles are equals.
[tex]\angle A = \angle M[/tex]
[tex]\angle B = \angle O[/tex]
[tex]\angle C = \angle P[/tex]
Then from the given data,
[tex]\angle A = \angle M = 45^{\circ}[/tex]
[tex]\angle C = \angle P = 102^{\circ}[/tex]
Now according to the triangle sum property,
[tex]\angle A + \angle B +\angle C = 180^{\circ}[/tex]
[tex]45^{\circ} + \angle B + 102^{\circ} = 180^{\circ}[/tex]
[tex]147^{\circ} + \angle B = 180^{\circ}[/tex]
[tex]\angle B = 180^{\circ} - 147^{\circ}[/tex]
[tex]\angle B = 33^{\circ}[/tex]
