in a triangle the sum of two angle is equal to third angle if the difference between these two angle is 20 degree find the angle
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in a triangle the sum of two angle is equal to third angle if the difference between these two angle is 20 degree find the angle
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Answer:
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Answer:
x = 55
y = 35
z = 90
Step-by-step explanation:
First angle = x
second angle = y
third angle = z
Here it is given that , x+y = z. (1)
x - y = 20. (2)
and we all know that sum of angles of a triangle is 180
so , x + y + z = 180. (3)
Now we have three unknowns and three equations ,so solve these three equations to find out angles
from third x + y = 180 - z
equate this and eq 1
so z = 180 - z
z = 90
now x + y =90
and x - y = 20
add these two , 2x = 110
x = 55
and similarly , y = 35
final angles , x = 55
y = 35
z = 90