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° .