Question

Can someone tell me the answer for this


I got this wrong on my first attempt ._.

Answer 1

86°

Explanation:

This is a circle theorem question, specifically the cyclic quadrilateral theorem.

If you have a a 4-sided shape that touches the circumference of the circle with all 4 vertices, it's know as a cyclic quadrilateral.

The theorem states: "Opposite angles in a cyclic quadrilateral add up to 180°"

We want the angle at point L so we subtract the opposite angle to L (Angle J, which is 94°), so 180 - 94 = 86

The neat thing is that it's still a quadrilateral, and if you find all the remaining sides, they should add up to 360°, just like a regular square or rectangle.