in the adjacent figure ABCD is a trapezium in which ab parallel DC if angle a is equal to 55 degree and angle b is equal to 70 degree find angle C and angle d
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given , two consecutive angles of trapezium are a = 55° and b = 70° .
since. , we know sum of the opposite angles of trapezium is equal to 180°
so then
opposite angle of a will be angle c .
thus
angle a + angle c = 180°
55° + angle c = 180°
angle c = 125°
similarly,
opposite angle of b will be angle d.
so then ,
sum of opposite angles = 180°
angle b + angle d = 180°
70° + angle d = 180°
angle d = 110°
Answer: angle c = 125° , angle d = 110°
since. , we know sum of the opposite angles of trapezium is equal to 180°
so then
opposite angle of a will be angle c .
thus
angle a + angle c = 180°
55° + angle c = 180°
angle c = 125°
similarly,
opposite angle of b will be angle d.
so then ,
sum of opposite angles = 180°
angle b + angle d = 180°
70° + angle d = 180°
angle d = 110°
Answer: angle c = 125° , angle d = 110°
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