Question

What is the value of x?

Answer 1

opposite angles are equal, and since, the figure is a rectangle, all its sides measure 90 degrees. Which means, in the side with 47, the angle will be 90 degrees if the other angle is mentioned.( 90-47=43), and we know that opposite angles are equal, and on a line that divides the angles, 43 is equal to 6x+19. so, 6x+19=43,

6x=43-19=24

x=24/6=4

in the same way, the angle 47 mentioned in the figure is equal to the angle beside 6x+19

Answer 2

x=4

Explanation:

ABCD is a rectangle, so AD and BC are parallel. Thus, The angle complementary to 6x+19 is 47.

6x+19+47=90

6x+66=90

6x=24

x=4