Question
In the given figure, find the measure of the unknown angles:
✓
Answer
a = d ....(vertically opposite angles)
d = f ......(corresponding angles)
f = 110° .......(vertically opposite angles)
∴ a = d = f = 110°
e + 110° = 180° ......(co-interior angles)
∴ e = 180°− 110° = 70°
b = c .......(vertically opposite angles)
b = e .........(corresponding angles)
e = g ........(vertically opposite angles)
∴ b = c = e = g = 70° ”
Hence a = 110°, b = 70°, e = 70°, d = 110°, e = 70°, f= 110° and g = 70°
d = f ......(corresponding angles)
f = 110° .......(vertically opposite angles)
∴ a = d = f = 110°
e + 110° = 180° ......(co-interior angles)
∴ e = 180°− 110° = 70°
b = c .......(vertically opposite angles)
b = e .........(corresponding angles)
e = g ........(vertically opposite angles)
∴ b = c = e = g = 70° ”
Hence a = 110°, b = 70°, e = 70°, d = 110°, e = 70°, f= 110° and g = 70°
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