Question

Quadrilateral JKLM is inscribed in circle R.

68
What is m L?
Enter your answer in the box.
105
XK
•R
L
M

Answer 1

`\qquad\qquad\huge\underline{{\sf Answer}}`

As we know, opposite sides of a cyclic quadrilateral add up to 180°, let's use this property to find Angle L

`\qquad \tt \dashrightarrow \: \angle L + 68 = 180`

`\qquad \tt \dashrightarrow \: \angle L = 180 - 68`

`\qquad \tt \dashrightarrow \: \angle L = 112 \degree`

So, measure of Angle L is 112°