Find the measure of angle JCA if J is the incenter of the triangle ABC.

A. 24°
B. 48°
C. 57°
D. 114°

Question

Find the measure of angle JCA if J is the incenter of the triangle ABC.

 	A.	24°
	B.	48°
	C.	57°
	D.	114°

lstrasmann · Answer

attachment

lstrasmann · Answer

... not very helpful.

lstrasmann · Answer

still not helpful. please stop drawing cats.

lstrasmann · Answer

@amistre64

lstrasmann · Answer

seriously, stop spamming cats. it's not really that funny.

lstrasmann · Answer

never mind, if no one is gonna be helpful, i might as well just guess.

amistre64 · Answer

|dw:1354572084213:dw|

i got an idea :)

amistre64 · Answer

each "kite" shape has the property that the opposite angles add up to 180

amistre64 · Answer

and the given angles in the diagram are half the outside point

amistre64 · Answer

all the inner angles add up to 360, since they are central angles to a circle

180-2a + 180-2b + 180 - 2c = 360

-2a -2b + 180 - 2c = 0

-a -b + 90 - c = 0

-a -b + 90 = c

using the given angles as a and b

c = 90 - 32 - 34

lstrasmann · Answer

thanks