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Leviafan [203]
3 years ago
13

In triangle​ ABC, the size of angle B is 3 times the size of angle​ A, and the size of angle C is 1° less than 6 times the size

of angle A.
Mathematics
1 answer:
andriy [413]3 years ago
8 0

Answer:

<em>18.1 -->Measure of A</em>

<em>54.3° -->Measure of B</em>

<em>107.6° -->Measure of C</em>

Step-by-step explanation:

<u>Equations</u>

The sum of the interior angles of a triangle is 180°. Let's call:

x = measure of angle A

The measure of angle B is 3 times the measure of A, thus:

3x = measure of angle B

The measure of angle C is 1 degree less than 6 times of x, thus:

6x - 1 = measure of angle C

The equation to solve is:

x + 3x + 6x - 1 = 180

Simplifying:

10x - 1 = 180

Adding 1:

10x = 181

Dividing by 10:

x = 18.1 -->Measure of A

3x = 54.3° -->Measure of B

6x-1 = 107.6° -->Measure of C

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