Answer :
The value of angle Q ∠Q from the diagram given is 66°
From the diagram ;
- Angle below R = 38° (alternate angles with the angle marked 38°)
- Let the angle vertically opposite angle Q = v
- 76 + v + 38 = 180° (sum of angles on a straight line)
- 114 + v = 180°
- v = 180° - 114° = 66°
- ∠Q = ∠v = 66° ( vertically opposite angles).
Therefore, the value of angle Q is 66°
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