Question

6. If one angle of a parallelogram is 24° less than
twice the smallest angle, find all angles of the
parallelogram.
(2)​

Answer 1

Answer:

The angles are 68, 112

Step-by-step explanation:

We know that,

The sum of all the angles of a Parallelogram is 180

Let: The smallest angle of Parallelogram be 'x'

The second angle be (2x - 24)

= x + (2x - 24) = 180

= 3x - 24 = 180

= 3x = 204

= x = 204/3 = 68

= x = 68

∴ The other angle will be 2(68) - 24 = 112

∴ The angles are 68 and 112.