Question

This is my math problem: I a triangle ABC, angle B is 3 times angle A and angle C is 2degrees less than 6 times angle A. Find the size of the angles. ? Can anyone solve this in equation steps?

Answer 1

right, so this is a problem where you have three variables (the three angles), and so you'll need three equations to solve it

Answer 2

so let's write down three equations

Answer 3

1. B = 3A

Answer 4

2. C = 6A - 2

Answer 5

so there's one equation that's true for all triangles

Answer 6

3. A+B+C = 180 (the sum of all angles in a triangle is always 180 degrees)

Answer 7

now what you need to do is substitute until you get an equation with all one variable

Answer 8

how about let's try and get all A's

Answer 9

so we know B=3A, and C=6A - 2

Answer 10

so let's substitute both of those into the third equation - A+B+C = 180

Answer 11

so A + (3A) + (6A-2) = 180

Answer 12

10A - 2 = 180

Answer 13

10A = 182

Answer 14

A = 18.2

Answer 15

now that you have the value of A, you need to substitute it back into other equations to get B and C

Answer 16

if you do that, you'll have the answer