Question

The angles of a triangle are in the ratio 1:3:8. Find the measures of the smallest angle of this triangle.

Answer 1

Step-by-step explanation:

The sum of the three interior angles in a triangles is 180∘.

Given the three angles are in tte ratio of 1:3:8,

let the three angles be 1x,3xand8x, respectively.

⇒1x+3x+8x=180

⇒12x=180

⇒x=18012=15∘

⇒1x=1×15=15∘,

⇒3x=3×15=45∘,

⇒8x=8×15=120∘

Hence, the measures of the three angles are 15∘,45∘and120∘