Question

Please help me find m

Answer 1

x = 10

so angle L is 30

Answer 2

m∡L=30°

Explanation:

Given:

LM is a diameter.

m∡M=6x°

m∡L= 3x°

To find.

m∡L=?

we have

m∡N=90°

A triangle drawn from two ends of a diameter of a circle makes an angle of 90° at the circumference.

Solution:

m∡N+m∡M+ m∡L=180° sum of interior angle of a triangle is 180°

90+6x+3x=180

9x=180-90

`x=(90)/(9)`

x=10

Therefore,

m∡L= 3x°=3*10=30°