Question

Q) he angles of a triangle are in the ratio 1:3:5. Find the measure of each of the angles.

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Answer 1

Gɪᴠᴇɴ:

• He angles of a triangle are in the ratio 1:3:5. Find the measure of each of the angles.

Fɪɴᴅ:

• Measures of each of the angles.

Sᴏʟᴜᴛɪᴏɴ:

• The Measures of Triangle is = 180°

Putting Value :

➞ x + 3x + 5x = 180°

➞ 9x = 180°

➞ x = 180° / 9

➞ x = 20

• Now, putting x value to find angles.

➳ Angle 1 = 1 ༝ 20 = 20

➳ Angle 2 = 3 ༝ 20 = 60

➳ Angle 3 = 5 ༝ 20 = 100

• Hence, the measures of triangle is 20°, 60° and 100°.

Answer 2

Answer :

• 20⁰ , 60⁰ and 100⁰ are the measure of each of the angles

Given :

• The angles of a triangle are in the ratio 1 : 3 : 5

To find :

• Measure of each of the angles

Solution :

Given, the angles of a triangle are in the ratio 1:3:5

• Let the angles of a triangle be x , 3x and 5x

As we know that,

• Sum of all angles in a triangle is equal to 180⁰

》x + 3x + 5x = 180

》9x = 180

》x = 180/9

》x = 20

Then,

• x = 20⁰
• 3x = 3(2) = 60⁰
• 5x = 5(2) = 100⁰

Hence, 20⁰ , 60⁰ and 100⁰ are the measure of each of the angles