Question

the smallest angle in a triangle is 12. The other two angles are in the ratio of 3:5. Find the measure of the other two angles.​

Answer 1

63° and 105°

Explanation:

given the ratio of 2 angles is 3 : 5 = 3x : 5x ( x is a multiplier )

the sum of the 3 angles in a triangle is 180°

sum the 3 angles and equate to 180

3x + 5x + 12 = 180

8x + 12 = 180 ( subtract 12 from both sides )

8x = 168 ( divide both sides by 8 )

x = 21

then

3x = 3 × 21 = 63

5x = 5 × 21 = 105

the measure of the other 2 angles is 63° and 105°