4. Find the value of each variable in the rhombus. Give brief reasons.
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Given: a+2a+b+c=360°
Therefore total angle of rhombus =360°
3a+b+c=360°
a+b+c=360/3
a+b+c=120°__(1)
In triangle a+2a+c=180°
3a+c=180°
a+c=180/3
a+c=60°
c=60-a__(2)
substituting (2) in (1)
a+b+60-a=120°
b=120-60
b=60°
in another triangle a+b+a=180°
2a+60=180
a=120/2
a=30°
then substituting a in (2)
c=60-30
c=30°
then
a=60°,b=60°,2a=120°;2c=60°
pranavrastogi1717:
hello dear, in the last substitute you have done 60-30 in which 30=a and above you have written that a=60 pls tell how ( a) become 30??
oh sry above you have done wrong division 120/2= 60 not 30
ok
it is not wrong u see the given figure in which angle a is half for 1st ,2a 2nd and there want to come 2c and b
ohk thx
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