Question

bleSolve the given linear system of equations:5arthinking Onlinecoring421-62 +бу9y15Drary ResearchuidesOne solution:CD No solutionInfinite number of solutions> Next Question

Answer 1

Let one of the angles is x

so, second angle is 3 times as large as x

The third angle is 45 more than the smallest angles

So, the angles are x , 3x and (x + 45)

We should know that the sum of the angles of the triangle = 180

so,

x + 3x + (x + 45) = 180

Solve to find x

So,

x + 3x + x + 45 = 180

5x = 180 - 45

5x = 135

Divide both sides by 5

x = 135/5 = 27

So, the angles are 27 , 81 and 72

so, the smallest angle = 27

The middle angle = 72

The largest angle = 81