Question

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

Answer 1

Answer:

hope it helps dear....

Answer 2

• 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.