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p=70
q=25
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Answer:
Angle EGB + Angle BGD + Angle FGO = 180°
So Angle 65° + 45° + X = 180° ( straight angle)
So 110° + X = 180°
X = 180° - 110°
X = 70°
So in ∆GOH sum of all angles = 180°
So 40° + 70° + p = 180°
So 110° + p = 180°
p = 180° - 110°
p = 70°
Angle FHD = Angle HGB (Corresponding angles )
Angle HGB = 70° + 45°
So Angle HGB = 115°
So FHD = 115°
So Angle GHO + Angle OHD + Angle DHF = 180°
(Straight angle )
So 40° + 115° + q = 180°
So 155° + q = 180°
So q = 180° - 155°
So q = 25°
Hope it is helpful
Have a great day
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