oliverdansinger oliverdansinger

11-04-2018
Mathematics

contestada

find m/ GJI
a. 15
b. 75
c.100
d. 105

find m GJI a 15 b 75 c100 d 105 class=

Respuesta :

Professor1994 Professor1994

11-04-2018

m<GJI=(x+60)°=?

We need to find x. The angle GJI and FJH are opposite by the the vertex, then they must be congruents:
(x+60)°=(5x)°
x+60=5x
Solving for x
x+60-x=5x-x
60=4x
60/4=4x/4
15=x
x=15

Replacing x by 15 in m<GJI:
m<GJI=(x+60)°=(15+60)°→m<GJI=75°

Answer: Option b. 75

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