Mathematics
In the figure, given below, ∠ABC is equal to :
105°
75°
90°
45°
Circles
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Answer
We know that,
Sum of co-interior angles in a trapezium is equal to 180°.
⇒ ∠A + ∠D = 180°
⇒ 105° + ∠D = 180°
⇒ ∠D = 180° - 105° = 75°
We know that,
The opposite angles of a cyclic quadrilateral is 180°.
In cyclic quadrilateral ABCD,
⇒ ∠D + ∠B = 180°
⇒ 75° + ∠B = 180°
⇒ ∠B = 180° - 75° = 105°.
Hence, Option 1 is the correct option.
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