contestada

In the figure,kj and kl are opposite rays.1=2 and km bisects nkl
if m angle jkm=5x+18 and m angle4=x what is m angle4

select one

A. 153
B. 33
C. 27
D. 12

Respuesta :

calculista

the picture in the attached figure


we know that

m∠1+m∠2+m∠3+m∠4=180°

m∠jkm=m∠1+m∠2+m∠3

so

m∠jkm+∠4=180°

m∠jkm=5x+18

∠4=x

substitute

(5x+18)+x=180°------> 6x=180-18------> x=162/6--------> x=27°


therefore


the answer is

the measure of angle 4 is equal to 27 degrees

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