Question

The angles of a triangle are in the ratio 2:3:5. The angles are ( A ) 36, 54, 90 ( B ) 18, 72, 90 ( C ) 30, 50, 100 ( D ) 35, 55, 90

Answer 1

Answer:

Let the angles of triangle be (2x)°,(3x)° and (5x)°.

Atq,

$\: \: \: \: \: \: \: 2x + 3x + 5x = 180$

$= > 10x = 180$

$= > x= \frac{180}{10}$

$= > x = 18$

Hence,the angles of triangle are (2×18)° =36°, (3×18)° = 54° and (5×18)° = 90°

Option A is correct.

Answer 2

Answer:

Let angles be 2x,3xand 5x respectively

Step-by-step explanation:

2x+3x+5x=180° (angle sum property of

a triangle)

10x=180°

x=180/10

x=18°

Hence angles are as follows

2x=2*18°

=36°

3x=3*18°

=54°

5x=5*18°

=90°

OPTION (A)