Question

8. If one of the angles of a triangle is 65° and the other two angles are in the ratio 2 :3, find the other two angles.​

Answer 1

Thanks for your question...

Your required answer :

Given :

• First Angle = 65°
• Let the Second angle be 2x
• Let the third Angle be 3x

Solution :

• 2x + 3x + 65 = 180° ( sum of interior angles of triangle is 180° )
• 5x = 180 - 65
• 5x = 115°
• x = 23°

Therefore ,

• Now , second angle : 2 × 23° = 46°
• Now , third angle : 3 × 23° = 69°

Brainliest Please

Answer 2

Answer:

• Other two angles of traingle are 46° and 69°

Step-by-step explanation:

Given:

• If one of the angles of a triangle is 65°
• The other two angles are in the ratio 2 :3

To Find:

• Other two angles of the Traingle.

Solution:

We know that,

Sum of all angles of Traingle = 180°

• Let the other two angles be 2x and 3x

➠ 2x + 3x + 65° = 180°

➠ 5x = 180 - 65

➠ 5x = 115

➠ x = 115/5

➠ x = 23

• 2nd angle = 2x = 46°
• 3rd angle = 3x = 69°

Hence,

• Other two angles of Traingle are 46° and 69°