Find the measures of the angles of a triangle in which one angle is 70°& the other two are in the ratio 3:8.

30° ; 80°

Step-by-step explanation:

Given that :

One angle of a certain triangle = 70°

The other two angles are in the ratio 3 : 8

Recall :

Sum of angles in a triangle = 180°

Number of angles in a triangle = 3

Hence,

Sum of the other two angles + 70 = 180

Hence, sum of the other two angles = (180 - 70)°

Sum of other two angles = 110°

The angle is in the ratio 3:8

Hence,

(3 / (3 +8)) * 110

= 3/11 * 110

= 330 / 11

= 30°

(8 / (3 +8)) * 110

= 8/11 * 110

= 880 / 11

= 80°

Hence ; 30° ; 80°