Consider the figure:
If angle A = 50° , angle B = 70° and X = 2y , then, the value of x (in degree) is _________.
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1
Answer:
Angle 1+Angle 2+ Angle 3 =180°
50 + 70 + Angle 3 =180°
Angle 3 =180-120
Angle 3 =60°
Then we know that ,
Angle 3 + x + y =180°
Angle 3 +2y+y=180°
60+ 3 y = 180
3y=180-60
3y=120
y=40
so, x=2y
x=2×40
x = 80
Therefore the value of x is 80°
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HeYa❤️...
Used Theorem:
Exterior angle is equal to the sum of two angles which are opposite to it.
Given: angle A= 50°, angle B = 70° and x= 2y.
Answer:
angle A + angle B = angle ACD. ( By using theorem)
50° + 70° = x + y
50° + 70 ° = 2y + y
3y = 120°
y= 120/3
y = 40°
x= 2y. ( Given)
x= 2(40)
x= 80°
Hence, the value of x is 80°.
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