Answer:
- 8. Option D is correct.
- 9. Option D is correct.
- 10. Option C is correct.
- 11. 55° is your answer.
- 11. The value of x is 13.
Explanation:
Question 8
A supplementary angle is 2 angles forming a 180° angle.
=> We can see that ∠3 and ∠4 are forming a 180° angle.
Hence, Option D is correct.
Question 9
- => 47 + 47 + x + x = 180
- => 94 + 2x = 180
- => 2x = 180 - 94
- => 2x = 86
- => x = 43
Hence, Option D is correct.
Question 10
∠4 is congruent to ∠5 because of vertically opposite angles.
Hence, Option C is correct.
Question 11
If ∠1 is 55°, then ∠3 will also be 55° because of vertically opposite angles.
Hence, 55° is your answer.
Question 12
We know that ∠4 = ∠2 because of vertically opposite angles.
- => 5x = 91 - 2x
- => 5x + 2x = 91
- => 7x = 91
- => x = 91/7
- => x = 13
Hence, the value of x is 13.
Hoped this helped.
