Answer:
- Q6) x = 15, y = 6,
- Q7) x = 13, y = 24.
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Question 6
Exterior angle is the sum of the remote interior angles:
- 4x - 7 + 86 = 9x + 4
- 4x + 79 = 9x + 4
- 9x - 4x = 79 - 4
- 5x = 75
- x = 15
Sum of interior angles of a triangle is 180:
- 4*15 - 7 + 86 + 7y - 1 = 180
- 60 + 78 + 7y = 180
- 138 + 7y = 180
- 7y = 42
- y = 6
Question 7
Consecutive interior angles are supplementary and sum to 180:
- (7x - 31) + (63 + 5x - 8) = 180
- 12x + 24 = 180
- 12x = 156
- x = 156/12
- x = 13
Same as above:
- (4y + 27) + (5*13 - 8) = 180
- 4y + 19 + 65 = 180
- 4y + 84 = 180
- 4y = 96
- y = 24
