In triangle ABC, the measure of angle B is 44degrees more than three times the measure of angle A. The measure of angle C is 61degrees more than the measure of angle A. Find the measure of each angle.

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gise0929 gise0929

20-07-2020
Mathematics

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In triangle ABC, the measure of angle B is 44degrees more than three times the measure of angle A. The measure of angle C is 61degrees more than the measure of angle A. Find the measure of each angle.

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sirlancepacheco sirlancepacheco · Answer 1 · 2020-07-20T03:08:25+02:00

Answer:

m<A =15, m<B=89, m<C=76

Step-by-step explanation:

A = x

B = 44 + 3x

C = x+61

44 + 3x + x + x + 61 = 180

(you get 5x because you're adding the additional actual value of A to the equation)

now you gotta mush this together

5x + 105 = 180

and now subtract

5x = 75

then divide

x = 15

Great! we found the value of angle A!

now lets plug this in for x in the formulas up top!

B = 44 + 3(15)

B = 44 + 45

B = 89

Yayyyy we're almost done!

C = (15) + 61

C = 76

That's it! that's the value of each angle!

you can check your work by adding the three numbers together to get 180

so lets see

15 + 89 + 76 =

drum roll please

.

180!!

We did it!

In triangle​ ABC, the measure of angle B is 44degrees more than three times the measure of angle A. The measure of angle C is 61degrees more than the measure of angle A. Find the measure of each angle.

Respuesta :

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In triangle ABC, the measure of angle B is 44degrees more than three times the measure of angle A. The measure of angle C is 61degrees more than the measure of angle A. Find the measure of each angle.