A triangle has an angle that measures 60°. The other two angles are in a ratio of 5:7. What are the measures of those two angles?

hi there! lets see if i can help

so we know a triangle = 180 degrees so were left with 120. this means the other 2 angles represent 120

so now they are in a ratio of 5:7

5x and 7x

We attach the x to help us find the exact degrees of each angle.

So, in short5x + 7x = 120   Now, let's go solve.

12x = 120    we combined like terms

x = 12    now we will substitute this value into our two angles to find out exactly how many degrees they each are.

12x/10 = 100/10   we divide each side by 10

5x10=50

7x10=70

70+60=130

130+50=180!

we got it!!