Question

In a right angled triangle , if one of the other two angles is 35° , find the remaining angle . ​

Answer 1

Answer:

In a right angled triangle, one angle is 90o let the corresponding angle be denoted by ∠A

Given one of the angel other than 90o is 35o let it be denoted by ∠B

Using theorem, Sum of interior angles of a triangle is 180o .

Hence ∠A+∠B+∠C=180o 

⇒90o+35o+∠C=180o

⇒∠C=180o−125o

⇒∠C=55o

Good afternoon

Answer 2

Answer:

Remaining angle = 55°

Step-by-step explanation:

Given:

• A right angled triangle
• One angle = 35°

To find:

The value of other angle = ?

Solution:

Let:

• ∠A = 35°
• ∠B = 90°
• ∠C = x

In a triangle applying Angle sum Property,

∠A + ∠B + ∠C = 180°

➝ 35° + 90° + x = 180°

⇒ 125° + x = 180°

⇒ x = 180° - 125°

⇒ x = 55°

∴ Remaining angle = 55°

KNOW MORE:

Angle Sum Property states that in any triangle, sum of all angles is always equal to 180°.