Question

please solve 5,6,7 questions ​

Answer 1

Step-by-step explanation:

5 ( c )

7 = same -side interior angles

6 ( 20 ) is coming

45 + 2 x + x + 75 = 180

120 + 3 x = 180

3 x = 180 - 120

3 x = 60

x = 20

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Answer 2

Answer 5 :-

Given that- Measure of ∠AOC = 50°

Need to find- ∠AOD + COB

Concept - Linear pair :: sum of angles lying on a straight line is always 180°

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Solution -

~By linear pair we can write that

∠AOD + ∠AOC = 180°

50° + ∠AOD = 180°

∠AOD = 180° - 50°

∠AOD = 130°

~By linear pair we can write that

∠COB + ∠AOC = 180°

∠COB = 180 - 50°

∠ COB = 130°

• Henceforth, ∠AOD + COB = 130° + 130° = 260°

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Answer 6 :-

Here,

45°, 2x and x + 15° lie on a straight line. So, we can apply linear pair property.

~By linear pair

45° + 2x° + x + 15° = 180°

3x° + 60° = 180°

3x° = 180° - 60°

3x = 120°

x = 120°/3

x = 40°

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Answer 7 :-

~Here, ∠4 and ∠5 are a pair of co-interior angles and their sum is also of 180° as they are supplementary.