If 3y –15, 4y –20 and 5y –25 are three angles of a triangle, find each of them.
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Answered by
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Step-by-step explanation:
let <A = 3y-15° ,<B = 4y-20° ,<C = 5y-25°
By angle some property.
sum of all angles óf triangle is 180°.
<A+<B+<C = 180°
3y-15°+4y-20°+5y-25°= 180°
12y-60°= 180°
12y = 180°+60°
12y = 240°
y = 20°
So,
<A = 3y-15° = 3×20°-15° = 60°-15° = 45°
<B = 4y-20° = 4×20°-20° = 80°-20° = 60°
<C = 5y-25° = 5×20°-25° = 100°-25° = 75°
Answered by
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Answer:
Here is u r answer
Step-by-step explanation:
By angle sum of a triangle
(3y –15)+(4y –20) + (5y –25)=180 degree
3y-15+4y-20+5y-25=180
12y-60=180
12y=180+60
12y=240
y=240/12
=20
Therefore angles are
3y-15=3×20-15=60-15=45 degree
4y-20=4×20-20=80-20=60 degree
5y-25=5×20-25=100-25=75 degree
I hope it will help u
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