Question

An obtuse angle of a rhombus is greater than twice the acute angle 30°. Find the measures of each angle of the rhombus.​

Answer 1

Step-by-step explanation:

Let the acute angles of the rhombus be x and obtuse angles of the rhombus be y

Given that y=2x+30

We know, the sum of two adjacent angles of a rhumbus is 180

x+y=180

⇒x+2x+30=180

⇒3x=150

⇒x=50

So, y=2×50+30=130

Hence.the measure of acute angle is 50o and the measure of obtuse angle is 130.