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3 years ago

ABCD is a parallelogram. Find the measure of ZABC. HELPPP

Mathematics

1 answer:

Lena [83]3 years ago

6 0

Answer:

50°

Step-by-step explanation:

Opposite angels of a parallelogram are congruent to each other.

This means:

<ADC = <ABC

<ADC = 38° + 12°

<ADC = 50°

Since <ADC = <ABC, therefore,

<ABC = 50°

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3 years ago

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

erma4kov [3.2K]

Answer:

$\large\boxed{\large\boxed{33\º}}$

Explanation:

The order of the letters naming the triangles is relevant. When it is said that <em>triangle ABC is similar to triangle MOP</em>, 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

6 0

3 years ago