1.

One of the acute angles of an obtuse angled triangle is one-third of the second one.If the obtuse angle of the triangle is 120 degree,find the sizes of the two acute angles of the triangle.

Answer»

The TWO acute angles of the triangle are 15° and 45° respectively.

Step-by-step EXPLANATION:

  • Let,  FIRST acute angle of triangle = α
  • then second acute angle is = 3α       (GIVEN)
  • And obtuse angle = 120°         (Given)

As, we know that the sum of the three angles of a triangle is 180° .

  • ∴   α + 3α + 120° = 180°
  •     4α = 180° - 120° = 60°
  •       α =60°/4 = 15° .

so, first acute angle of triangle (α) =15°

and second acute angle (3α) = 45°


Discussion

No Comment Found

Related InterviewSolutions