Question

Please help!

Triangle ABC is similar to triangle MOP! A = 45 and P = 102. What is the measure of B?

Answer 1

The measure of angle B is 33 Degrees.

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)`