Question

Please help!

Answer 1

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.

$\angle A = \angle M$

$\angle B = \angle O$

$\angle C = \angle P$

Then from the given data,

$\angle A = \angle M = 45^{\circ}$

$\angle C = \angle P = 102^{\circ}$

Now according to the triangle sum property,

$\angle A + \angle B +\angle C = 180^{\circ}$

$45^{\circ} + \angle B + 102^{\circ} = 180^{\circ}$

$147^{\circ} + \angle B = 180^{\circ}$

$\angle B = 180^{\circ} - 147^{\circ}$

$\angle B = 33^{\circ}$