Answer:
Step-by-step explanation:
3 and 5 are vertical angles and are equal as per definition of vertical angles
5 and 6 are supplementary angles and sum up to 180 as per definition of supplementary angles
- 5x + 6y + 86 = 180 ⇒ 5x + 6y = 94
Comparing the two equations
- 6y = 86 - 4x and 6y = 94 - 5x
- 86 - 4x = 94 - 5x
- 5x - 4x = 94 - 86
- x = 8
Finding y
- 6y = 86 - 8*4
- 6y = 86 - 32
- 6y = 54
- y = 9
Answer
