Question

Please I need help!!

In the diagram DO and TO of rectangle OUTD are extended as shown.

Find the value of X

Show your work

Answer 1

Answer: X equals 8

Step-by-step explanation: figure OUTD is a rectangle. Each angle in a rectangle measures 90 degrees. Therefore we can derive the value of angle X by the following expression;

(7X + 2) + 4X = 90

7X + 2 + 4X = 90

11X + 2 = 90

Subtract 2 from both sides of the equation

11X = 88

Divide both sides of the equation by 11

X = 8.