What are the angles

Question

A triangle has 3 angles. The largest is 4 times the smallest. The other angle is 27° less than the largest

Answer 1

Largest = L

Smallest = S

Other = R

First start with an equation 180= L+ R+ S

Then look at what your variables are equal to L=4S     R= L-27    S=?

R= 4S-27

Set up an equation to get one variable by itself     180= L+ S + R   --> 180= 4S + S + (4S-27)

Solve this equation     180= 5S+ (4S-27)  --> 180= 9S - 27

                                  add 27 to both sides    +27         +27

                                                                 207= 9S

                          Divide 9 from both sides     23= S

Plug S into the equation R= 4S- 27 --> R= 4(23) -27 --> R=92- 27 --> R=65

Plug S into equation  L=4S --> L= 4(23) --> L=92

Check 180= L+S+R --> 180= 92+23+65 --> 180= 180

Answers: 

L= 92°

S= 23°

R= 65°