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Given:
The wheel chair ramp is parallel to the ramp.
To find:
The value of x and y.
Solution:
If two lines are parallel, then the alternate interior angles are congruent.
4x° + 6y° = 86° --------- (1)
Similarly,
5x° + 6y° = 94°
Subtract 5x° from both sides.
5x° + 6y° - 5x° = 94° - 5x°
6y° = 94° - 5x° --------- (2)
Substitute (2) in (1).
4x° + 94° - 5x° = 86°
94° - x° = 86°
Subract 94° on both sides.
94° - x° - 94° = 86° - 94°
- x° = 86° - 94°
- x° = -8°
Multiply by -1 on both sides, we get
x = 8
Substitute x = 8 in (2).
6y° = 94° - 5(8)°
6y° = 54°
Divide by 6 on both sides, we get
y = 6
The value of x is 8 and y is 6.
Answer:
see explanation
Step-by-step explanation:
(8x - 75) and (5x) are vertically opposite angles and are congruent , then
8x - 75 = 5x ( subtract 5x from both sides )
3x - 75 = 0 ( add 75 to both sides )
3x = 75 ( divide both sides by 3 )
x = 25
Then
5x = 5(25) = 125°
8x - 75 = 8(25) - 75 = 200 - 75 = 125°
