△klm, lm=20 sqrt 3 m∠k=105°, m∠m=30° find: kl and km

KL =   = 17.93

MK =   = 25.36

Explanation:

According to the Law of Sines:

where:

A, B, and C are angles

a, b, and c are the sides opposite to the angles

First of all, let's find m∠L: the sum of the angles of a triangle is 180°, therefore

m∠K + m∠L + m∠M = 180°

m∠L = 180° - m∠K - m∠M

m∠L = 180° - 105° - 30°

m∠L = 45°

Now, we can apply the Law of Sines to our case (see picture attached):

Let's solve one side at the time:

MK = = 25.36

Similarily:

KL = = 17.93

answer: 48

just remember to use pemdas:

parentheses

expressions

multiplication

division

addition

subtraction

13664

step-by-step explanation:

=cross multiply

=100 x = 13664