Two adjacent angles on a straight line are in the ratio 3 is to 7

Question 3 Exercise 25(A)

Answer:

Solution:

Since, the exterior arms of the adjacent angles are in straight line the adjacent angles are supplementary.

∠AOB + ∠AOC = 180°

> 68° + 3x - 20° = 180°

> 3x = 180° + 20° - 68°

> 3x = 200° - 68° > 3x = 132° x = $\frac{132}{3}$ =44°

Video transcript

"Hello, welcome to Lio work. Today. We're going to see question. That is the given diagram shows two adjacent angles a would be and AOC those exterior sides are along the same straight line find the value of x so they are given the around the straight line they arguing so, you know the complete angle this complete straight angle is 180 degrees you note so we know straight angle is 180 degrees. So we're going to find out the Fix so you can take sixty eight players 3x minus 20 equals to 180 degrees here is so you take care 68 minus 20 plus 3x equals to 180. So it will be 48 plus 3x equals to 180. 3x equals to 180 minus 48 It will be 132. So x equals to 1 32 divided by 3. It is 44 degrees. So value of x is 44 teeth complete angle is T into 44 minus 20. So there are some only to find excite so value of x is 44 degrees. I hope you understand this video subscribe to this channel for the regular update and thanks for watching this video. "

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Solution:

Given that the adjacent angles of a parallelogram are in the ratio 3:2.

Thus, the angles are 3x and 2x respectively.

We know that the sum of the measures of adjacent angles is 180° for a parallelogram.

∠A + ∠B = 180°

3x + 2x = 180°

5x = 180°

x = 180°/5

x = 36°

Thus, one of the angles = 3x

3(36°) = 108°

The other angle is 2x

2(36°) = 72°

The other two angles are 72° and 108° since opposite angles of a parallelogram are equal.

Thus, the measures of the angles of the parallelogram are 108°, 72°, 108°, and 72°

☛ Check: NCERT Solutions for Class 8 Maths Chapter 3

Video Solution:

NCERT Solutions for Class 8 Maths Chapter 3 Exercise 3.3 Question 5

Summary:

The measures of two adjacent angles of a parallelogram are in the ratio 3:2. The measures of each of the angles of the parallelogram are 108°, 72°, 108°, and 72°

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