The bigger angle=(180*-120*)*7/(5+7)=60(7/12)=35*

The smaller angle=60(5/12)=25*

The other two angles' sum is 60°

x/(x+y) = 5/12

x/60 = 5/12

12x = 300

x = 25°

y= 60-25 = 35°

5x + 7x = 180 - 120

12x = 60

x = 5

one angle's measure is 5(5) = 25 deg

the other's is 7(5) = 35 deg

The internal angles of a triangle total 180 degrees.

Therefore the two remaining angles must total 180 - 120 = 60 degrees.

A ratio of 5:7 has 5 + 7= 12 parts.

1 part = 60/12 = 5 degrees.

The angle with 5 parts = 5 x 5 = 25 degrees

The angle with 7 parts = 7 x 5 = 35 degrees.

The three angles are 120 degrees, 35 degrees and 25 degrees

5x+7x = 60°

x = 5°

5x = 25°

7x = 35°

5x + 7x + 120 = 180

12x + 120 = 180

12x = 60

x = 5

The other two angles are 25° and 35°.

Really?

25° & 35°

Let the other two angles be 5x and 7x

The three angles add up to 180°:

120 + 5x + 7x = 180

12x = 60

x = 5

So the angles are:

5x = 5(5) = 25°

7x = 7(5) = 35°

25° and 35°

32 and 54