Question

if one angle of a parallelogram is 30° less than
twice the smallest angle,
then find the measure
of each angle.​

Answer 1

Let the smallest angle is x

Another angle is 2x - 30

Now opposite angles in parallelogram are equal

x = 2x - 30

x = 30

Now adjacent angles are equal to 180 degree so

30 + x = 180

X = 150

So angles are 150 , 30 , 150 , 30

Answer 2

Step-by-step explanation:

n=360,

angle 1 = 2(angle2) - 30........(i)

In a parallelogram,

360= 2× angle1 + 2× angle2

using (i),

360= 2× angle 2 + 2× angle2 - 30

360+30= 4 × angle2

390/4= angle2

angle2=97.5°

angle1 = 2×97.5 - 30

=195 - 30

= 165°

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