Question

The angles of a triangle are in the ratio 2:3:5. Find the angles.​

Answer 1

Given:

• Ratio of angles = 2:3:5

To Find:

• Measure of all the angles.

Solution:

According to the Question :

$\\\sf\dashrightarrow \: Angle \: Sum \: Property = 180°$

$\sf\dashrightarrow \: 2p + 3p + 5p = 180°$

$\sf\dashrightarrow \: 5p + 5p = 180°$

$\sf\dashrightarrow \: 10p = 180°$

$\sf\dashrightarrow \: p = \frac{180}{10}$

$\sf\dashrightarrow \: p = 18</p><p>$

⠀

Therefore :

➛First Angle = 2p

➛First Angle = 2 × 18

➛First Angle = 36°

➛ Second Angle = 3p

➛ Second Angle = 3 × 18

➛ Second Angle = 54°

➛Third Angle = 5p

➛ Third Angle = 5 × 18

➛ Third Angle = 90°

Thus Angles of the Triangle are 36° , 54° and 90°

Answer 2

Answer:

The angles of the triangle are $36$°,$54$°,$90$°.

Step-by-step explanation:

Given ratio of the angles of the triangle, and we know that the sum of three angles of a triangle is $180$°.

Therefore since the sum of ratio is $10$, $180$ is divided into equal ten parts so each part consist of $18$°. Otherwise,

first angle $=180(2/10)=36$

second angle $=180(3/10)=54$

third angle $=180(5/10)=90$

hence the answer

thank you