Question

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

Answer 1

Answer:

       $\large\boxed{\large\boxed{33\º}}$

Explanation:

The order of the letters naming the triangles is relevant. When it is said that triangle ABC is similar to triangle MOP, means that:

• ∡A ≅ ∡M

• ∡B ≅ ∡O

• ∡C ≅ ∡P

Therefore:

• ∡A = 45º (given)

• ∡P = 102º (given)

• ∡C = 102º (by substitution)

Now, you have two angles of triangle ABC and can find the third one:

• ∡A + ∡B + ∡C = 180º

• ∡B = 180º - ∡A - ∡B

• ∡B = 180º - 45º - 102º = 33º ← answer