Question

Find the value of each variable and the measure of arc LM. The diagram is not drawn to scale.

Answer 1

Answer by YourHope:

Hi! :)

x = 90

y = 50

Arc LM = 100

:)

Answer 2

x = 90

y = 50

Arc LM = 100

Explanation:

Arc MK = 180 degrees

<x = 1/2 Arc MK

<x = 90 degrees

<x + <y + 40 = 180 all angles in a triangle add to 180

90 + <y + 40 = 180

130 + < y = 180

Subtract 130 from each side

< y = 50

Arc LM

1/2 Arc Lm = <y

1/2 Arc LM = 50

Multiply by 2

Arc LM = 100