Question

an absolute angle of a rhombus is greater than twice the actual angle by 60° degree find the measure of each angle.​

Answer 1

Let the acute and the obtuse angles of the rhombus be ra and ro, respectively.

Now ro = 30 + 2ra …(1)

But ro + ra = 180 …(2)

Put the value of ro from (1) in (2) to get

30 + 2ra + ra = 180, or

3ra = 180–30 = 150, so

ra = 50 deg and ro = 130 deg