Question

The two angle of a triangle are in the ratio of 2:3. the sum of these angle is èqual to the third angle. find the angle of the triangle

help you​

Answer 1

Step-by-step explanation:

ratio=2:3

let the ratio be 2x and 3x

third angle = 2x+3x=5x

therefore angles of the triangle=2x,3x and 5x

sum of the angles in a triangle=180°

therefore,according to question:-

=)2x+3x+5x=180°

=)10x=180°

=) x=180°/10=18°

angles of the triangle:-

first angle=2x=2×18=36°

second angle=3x=3×18=54°

third angle=5x=5×18=90°

Answer 2

Answer:

The 3 angles of the triangle are 36°, 54° and 90° respectively.

Step-by-step explanation:

Let us consider the 2 given angles of a triangle as 2x and 3x

It is given that sum of these angles is equal to the third angle.

So, Third angle = 2x + 3x

⇒ Third angle = 5x

By Angle Sum Property of triangles;

   2x + 3x + 5x = 180°

⇒ 10x = 180°

⇒ x = 180° ÷ 10

⇒ 【x = 18°】

For finding the first angle:

First angle = 2x

⇒ First angle = 2(18)

⇒ First angle = 36°

For finding the second angle:

Second angle = 3x

⇒ Second angle = 3(18)

⇒ Second angle = 54°

For finding the third angle:

Third angle = 5x

⇒ Third angle = 5(18°)

⇒ Third angle = 90°