E, F, G, and H are four points lying on the circumference of a circle to make a cyclic quadrilateral. If ∠FGH = 57°, then what will be the measure of the ∠HEF?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 123°.
Given that
E, F, G, and H are four points lying on the circumference of a circle to make a cyclic
quadrilateral
If ∠FGH = 57°
As we know,
The sum of opposite angles in a quadrilateral = 180°
According to the question
⇒ ∠FGH + ∠HEF = 180°
⇒ 57° + ∠HEF = 180°
⇒ ∠HEF = 180° - 57° = 123°