Question

if the measure of the angle of a triangle are 2 x 3 x and 5 x then the smallest angle is​

Answer 1

Question Incomplete Ha

Answer 2

Given:  the measure of the angle of a triangle are 2x 3x and 5x

To find: the smallest angle

Step-by-step explanation:

It is the right angle because, it's one angle is $90^o$ which is perpendicular of the base.

Some important properties of the right angled triangle are given below

• One angle is always $90^o$

• The side opposite angle $90^o$ is the hypotenuse
• The hypotenuse is always the longest side
• The sum of the two interior angles is $90^o$

According to question

The sum of a triangle of all three sides is $180^o$.

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

$10x=180$

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

$x=18$

Put $x=18$ on given numbers

$2x=2\times18=36^o$

$3x=3\times18=54^o$

$5x=5\times18=90^o$

Then, the smallest angle is $36^o$