Math, asked by pritsakariya12, 4 months ago

The angles of a quadrilayeral are in the ratio 1:2:3:4. Hence the measurement of smallest angle is

Answers

Answered by simran7539
2

Solution

Given :-

  • The angles of a quadrilayeral are in the ratio 1:2:3:4.

To Find :-

  • The measurement of smallest angle

Step-by-Step-Explaination :-

As we know that :-

The sum of all angles of a quadrilateral is 360°.

Therefore,

Let the angles be x, 2x, 3x, 4x.

According to the question

=> x + 2x + 3x + 4x = 360

=> 10x = 360

=> x = \frac{360}{10}

=> x = 36

So,

The angles are:-

1. x = 36°

2. 2x = 2 × 36 = 72°

3. 3x = 3 × 36 = 108°

4. 4x = 4 × 36 = 144°

Answered by shilshaurya5606
1

Answer:

36°

Step-by-step explanation:

Ratio = 1:2:3:4

Thus, assume angles to be x, 2x, 3x and 4x.

By Angle Sum Property of a quadrilateral(Sum of all angles in quadrilateral is 360°) :-

x + 2x + 3x + 4x = 360°

=> 10x = 360°

x = 360/10 => 36°

As x is the smallest angle between x, 2x, 3x and 4x, the measure of smallest angle is 36°.

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