The side of the rhombus is 2, the height is 1. Find the bigger angle

Question

Help me with this please, I can't find a way

Answer 1

There is more than one way to solve this.  You can find the small angle from trigonometry, and then subtract it from 180° to get the large angle.  (This will be clear if you draw a picture.)

 

Note that the sine of the small angle is 1/2.  Then

 

Large angle = 180° - sin^-1(1/2) = 180° - 30° = 150°

Answer 2

The answer is: 90^o + arccos(1/2) = 150^o