In the figure line m ║ line n line l is a transversal. If m∠ b = (x + 15)° and m∠ e = (2x + 15)°, find the value of x.
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Answered by
78
hey here is your answer
GIVEN ➡ (1) line m is parallel to line n
(2) l is transversal
(3) angle B = (x+15)°
(4) angle E = (2x + 15)°
solution=
line m parallel to the line n
l is transversal
angle B = angle F. (corresponding angle )
angle F = (x+15)°. -(1)
on line n
angle F + angle E = 180°. (linear pair)
(x+15)° + (2x+15)° = 180°
= 3x + 30 = 180°
= 3x = 180° - 30°
= 3x = 150°
= x = 150°/3 = 50°
hope this helps you
GIVEN ➡ (1) line m is parallel to line n
(2) l is transversal
(3) angle B = (x+15)°
(4) angle E = (2x + 15)°
solution=
line m parallel to the line n
l is transversal
angle B = angle F. (corresponding angle )
angle F = (x+15)°. -(1)
on line n
angle F + angle E = 180°. (linear pair)
(x+15)° + (2x+15)° = 180°
= 3x + 30 = 180°
= 3x = 180° - 30°
= 3x = 150°
= x = 150°/3 = 50°
hope this helps you
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4
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