1. In the adjoining figure line e ║ line m║ line n.
Line k is the transversal∠a : ∠b = 5 :7
then find the measure of ∠c
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Answered by
2
Answer:
105°
Step-by-step explanation:
5x +7x =12x =180°
x=15.
a=15x5=75 and b=105
c=180-a(angles on same side of transversal)
c=180-75=105°
so c=105°
Answered by
6
Answer:
given : e || m || n
a:b = 5:7
a=5x ; b=7x
we know,
(from e || m)
b = c ( interior opposite angles)
also,
(from m || n)
angle a + angle c = 180° (corresponding angles)
then, (substituting values)
5x + 7x =180°
12x = 180°
X = 180/12= 15
a = 5*15= 75 ; c= 7*15= 105
(and angle b= 105, since b=c)
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