One angle of a triangle measures 120°. the other two angles are in a ratio of 5: 7. what are the measures of those two angles

5x= one angle measure
7x= second angle measure
120°= third angle

Triangles equal 180°. Add the angles above to total 180°. Find x to find two two unknown angles.

5x + 7x + 120°= 180°
combine like values

12x + 120= 180
subtract 120 from both sides

12x= 60
divide both sides by 12

x= 5

ONE ANGLE MEASURE
5x= 5(5)= 25°

SECOND ANGLE MEASURE
7x= 7(5)= 35°

CHECK:
25° + 35° + 120°= 180°
180°= 180°

ANSWER: The measures of the two angles are 25° and 35°.

Hope this helps! :)