Explanation

The sum of all interior angles in any triangle is always 180 degrees.

A fundamental rule in Euclidean geometry, regardless of the triangle's shape (e.g., right, equilateral, scalene).

This property is known as the Angle Sum Property.

Last verified on 23-05-2026

Explanation

Assume price = 100
After +20% → 120
After −20% → 96

So the final price is less than the original.

Last updated by NA on 23-April-2026

Explanation

Average of 3 numbers = 26

So total sum:

$$3\times 26=78$$

Given:

• First number = 16
• Second number = 31

Sum of first two:

$$16+31=47$$

Third number:

$$78 - 47 = 31$$

$$Last\; updated\; question\; NS\; on\; 10\; MAY\; 2026$$

Explanation

Profit is divided in the ratio of (capital × time).

Given:

• Capital ratio A : B = 4 : 5
• Time: A = 9 months, B = 9 months

So time is same, only capital matters:

Profit ratio = 4 : 5

Total profit = 22000

Total parts = 4 + 5 = 9

A’s share:

4/9​×22000=9777.78≈9778

$$Last\; updated\; question\; NS\; on\; 10\; MAY\; 2026$$

Explanation