Question

The three angle of a triangle are in the ratio2 ratio 3 ratio 5 calculate the size of the smallest angle ​

Answer 1

Answer:

The smallest angle is  $36^o$.

Step-by-step explanation:

We know that the sum of interior angles of a triangle is $180^o$. Given that the angles are in the ratio of 2:3:5. This means that, when we divide $180^o$ into ten parts(2+3+5), two parts constitute the first angle.  Three parts make the second angle and five parts compose the third angle. Each angle is given by

$\dfrac{180}{10}\times 2 =36^o\\\\\dfrac{180}{10}\times 3 =54^o\\\\\dfrac{180}{10}\times 5 =90^o$

The  smallest angle is $36^o$.

Answer 2

Answer:

36 degrees

Step-by-step explanation:

Take common multiple as x, and we know that angles of triangle add to 180 degrees, hence

2x + 3x + 5x ⇒ 180

10x ⇒ 180

x ⇒ 180 ÷ 10

x ⇒ 18 degree

Then we have to find the smallest angle (many people forget this)

2x is the smallest from 2x, 3x and 5x so

2x ⇒ 2 x 18 ⇒ 36 degrees