ANSWER:
x = 55°
The value of 'x' is equivalent to 55°.
STEP-BY-STEP EXPLANATION:
The rhombus in the rectangle is a regular rhombus. It has two pairs of parralell sides.
Therefore, we can use co-interior angles on parallel lines to solve this problem. Co-interior angles are two angles on parallel lines which form a 'C' shape and add up to 180°.
THEREFORE:
( 2x + 20 )° + ( 50 )° = 180°
2x = 180 - 20 - 50
2x = 110
x = 110 / 2
x = 55°
