Answer:
option (a)
Step-by-step explanation:
AB and CD are perpendicular lines intersecting at 90°.
O is the intersection point.
Angle x- Angle y
Angle y= 62° ( Vertically opposite angles)
Angle AOC + Angle BOC= 180° (Linear Pair)
Angle x+ Angle y= 180°
Angle x+ 62°= 180
x= 180-62
x= 118°
Therefore, x- y
=> 118° - 62°
=> 56°
Therefore, 56° is the correct solution.
TotAl sum of the given angle = 360⁰
Now, as vertical angles are always equal angle 62⁰ = angle y
and, angle x = it's vertical angle.
Now,
2x + ( 62+62⁰ ) = 360⁰
2x+124=360⁰
2x = 360-124⁰
2x = 236
x= 236/2= 118⁰
Now, angle X - angle y = 118⁰-62⁰= 56⁰
So, answer is a) 56⁰
Hope it helps
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Answers & Comments
Answer:
option (a)
Step-by-step explanation:
Given:-
AB and CD are perpendicular lines intersecting at 90°.
O is the intersection point.
To find:-
Angle x- Angle y
Solution:-
Angle y= 62° ( Vertically opposite angles)
Angle AOC + Angle BOC= 180° (Linear Pair)
Angle x+ Angle y= 180°
Angle x+ 62°= 180
x= 180-62
x= 118°
Therefore, x- y
=> 118° - 62°
=> 56°
Therefore, 56° is the correct solution.
TotAl sum of the given angle = 360⁰
Now, as vertical angles are always equal angle 62⁰ = angle y
and, angle x = it's vertical angle.
Now,
2x + ( 62+62⁰ ) = 360⁰
2x+124=360⁰
2x = 360-124⁰
2x = 236
x= 236/2= 118⁰
Now, angle X - angle y = 118⁰-62⁰= 56⁰
So, answer is a) 56⁰
Hope it helps