please solve my sum guys
Answers
I am sure u get ur answer
Answer:
angle 8 = 104 and angle 7 = 76
Step-by-step explanation:
angle 4 = angle 6 (alternate interior angles)
or x + 2y = 3y + 20
or 3y - 2y = x - 20
or y = x - 20
also, angle 1 = angle 3 (vertically oppposite angles)
and, angle 3 + angle 4 = 180 (Linear Pairs)
or angle 1 + angle 4 = 180
or x + y + x + 2y = 180
or x + x - 20 + x + 2(x - 20) = 180
or 3x - 20 + 2x - 40 = 180
or 5x = 180 + 60
or x = 240/5 = 48
Now, y = x - 20
or y = 48 - 20 = 28
and, angle 7 = angle 5 (vertically opposite angles)
angle 5 = angle 3 (interior opposite angles)
angle 3 = angle 1 (vertically opposite angles)
Hence, angle 7 = angle 1
or angle 7 = x + y
or angle 7 = 48 + 28 = 76
and, angle 8 = angle 6 (vertically opposite angles)
or angle 8 = 3y + 20
or angle 8 = 3 * 28 +20
or angle 8 = 84 + 20 = 104