Question

@matt101
Find x if line KM is an angle bisector of angle JKL

Answer 1

question 8

Answer 2

Before I explain - do you know any trigonometry?

Answer 3

not really =/

Answer 4

Actually hold that thought!

Answer 5

you dont need trig for this

Answer 6

what do you know about the angles of an equilateral triangle tori?

Answer 7

they all have the same measure

Answer 8

Triangle KLM is an equilateral triangle. That means not only are all 3 of its sides the same length, but all 3 of its angles are the same size as well. Since the angles of a triangle must always add up to 180 degrees, each angle in the equilateral triangle must be 60 degrees.

We know KM is an angle bisector. That means angle JKM is the same as angle MKL - 60 degrees. Just like the equilateral triangle, the angles in the right triangle must add to 180. So...now you should be able to solve for x :)

Answer 9

what is that "same measure" in degrees?

Answer 10

60

Answer 11

@Rizags You're absolutely right

Answer 12

riiiight! so since KM bisects angle JKL, and we know that ONE of the bisected angles in 60 degrees, what must the other be?

Answer 13

30?

Answer 14

sry no

Answer 15

no, heres the thing, JKL is bISECTED into MKL and JKM. we know that JKM is 60, because it is in an equilateral triangle. THEREFORE, MKL must ALSO BE 60, leaving us with this diagram

Answer 16

can you solve from here?

Answer 17

yea

Answer 18

x=4 right?

Answer 19

yupppppppp

Answer 20

ty!!

Answer 21

yea np medal fan rl quik plz