XY and WZ are straight line segments. The angle marked d = 48°c. Find the values of a, b and c.
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Given that Angle d = 48°
Angle a = Angle d
(Vertically opposite angles are equal)
Therefore, Angle a = 48°
Let Angle b = x°
Therefore, Angle c = Angle b = x°
(Vertically opposite angles are equal)
Therefore,
Angle a + Angle b + Angle c + Angle d = 360°
(Sum of all the angles at a point is 360°)
=> 48° + x° + 48° + x° = 360°
=> x° = 132°
Therefore,
Angle a = 48°
Angle b = 132°
Angle c = 132°
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