1.

one angle of a triangle is 100degre and the other two angles are in the ratio of 2:3, find the angle​

Answer»
  • Other two angles of triangle are 32° and 48° RESPECTIVELY.

Step-by-step explanation:

Given:-

  • ONE angle of triangle is 100°.
  • Other two angles are in RATIO of 2:3.

To find:-

  • Other two angles.

Solution:-

LET, Other two angles of triangle be 2X and 3x.

We know that,

Sum of all interior angles of triangle is 180°. This property is also known as'Angle sum property of triangle'.

So,

➞ 100° + 2x + 3x = 180°

➞ 5x = 180° - 100°

➞ 5x = 80°

➞ x = 180°/5

➞ x = 16°

Verification:-

➞ 100° + 2x + 3x = 180°

  • Put x = 16

➞ 100° + (2×16)° + (3×16)° = 180°

➞ 100° + 32° + 48° = 180°

➞ 180° = 180°

Hence, Verified.

2x = 2×16 = 32°

3x = 3×16 = 48°

Therefore,

Other two angles of triangle are 32° and 48° respectively.


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