Question

10. An angle of a parallelogram is 24° less than its adjacent angle. Find the measure of all its angles.​

Answer 1

Since it is a parallelogram the sum of adjacent angles = 180°

Let the smallest angle of the parallelogram=x°

Then the other angle=(2x-24)°,

x °+(2x-24)° =180°

x=68°

And the second angle= 2×68–24=112°

So the largest angle is 112° .

Answer 2

Answer:

Let the smallest angle of the parallelogram be x. Then the other angle will be (2x-24). x = 68. Then the other angle will be 2(68) - 24 = 112.