Question

What is the value of x

Answer 1

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°