two opposite angle of a parallelogram are (5 x - 20)° and (70 - 4 x)° find the measurement of each angle of the parallelogram
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here
5x-20°=70-4x°. (oppo. angles of ||gm )
30
5x-20°=70-4x°. (oppo. angles of ||gm )
30
Answered by
3
Given that two opposite angle of a parallelogram are (5 x - 20)° and (70 - 4 x)°
We know that opposite angles of the parallelogram are always equal.
So that means given angles are also equal.
So we can write:
(5 x - 20)° = (70 - 4 x)°
5 x - 20=70 - 4 x
5x+4x=70+20
9x=90
9x/9=90/9
x=10
Now plug value of x into each angle
(5 x - 20)° =(5 *10 - 20)° =(50 - 20)° = 30°
(70 - 4 x)° = (70 - 4 *10)° = (70 - 30)° = 30°
Hence both angles are equal to 30°.
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