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In triangle ABC, the measure of angle B is 35 degrees more than three times the measure of angle A. The measure of angle C is 57 degrees more than the measure of angle A. Find the measure of each angle.
What is the measure of angle A? _____
What is the measure of angle B? _____
What is the measure of angle C? _____

Respuesta :

Answer:

Step-by-step explanation:

Given that in a triangle ABC, the measure of angle B is 35 degrees more than three times the measure of angle A.

Measure of C = 57 degrees more than measure of A

[tex]Angle C = Angle A +57[/tex]

Measure of B = 35 degrees more than three times measure of A

[tex]Angle B = 35+3 (angle A)[/tex]

Sum of three angles = 180

Hence if [tex]Angle A = x[/tex], we get

[tex]x+x+57+3x+35 =180\\5x+92 =180\\5x =88\\x=17.6[/tex]

Hence angles are

[tex]A =17.6^{o} B =87.8^{o}C=74.6^{o}[/tex]

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