The ratio of the angles in a triangle is 3:10:7 what is the measure of the smallest ?

Sum of all three angles inside a triangle = 180°

Total number of parts = 3 + 10 + 7 = 20

Each part = 180 ÷ 20 = 9

Let us name the three angles of this triangle as ∠1 , ∠2 and ∠3 respectively .

Number of parts for ∠1 = 3 parts

∠1 = 3 × 9 = 27°

Number of parts for ∠2 = 10 parts

∠2 = 10 × 9 = 90°

Number of parts for ∠3 = 7 parts

∠3 = 7 × 9 = 63°

The three angles of this triangle measure 27° , 90° and 63° respectively

Measure of the smallest angle = 27°

Therefore , the measure of the smallest angle = 27° .

squares, rhombus, rectangles