Question

The diagram shows a right angle.
Write an equation to determine the value of x. Solve for x.

Answer 1

6

Explanation:

Since a right angle is 90 degrees, first you know that one is 6x + 6 degrees so first you do 90 minus 6 which will give you 6x + 8x = 84 degrees.

so then you do 6x + 8x so that is 14x so then you do 84/14. that is because you want to find what is the value of one x is. (14 is because the 8 plus 6.)

so yeah you get 6 from 84/14. that means x is 6. there's your answer.

just for some proof, let's do it backwards. So first, 8 times 6 is 48. and 6 times 6 is 36 plus 6 which is 42. then, we should find out 48 plus 42 equals 90. hey that's correct! that means our answer 6 is correct.

Answer 2

8x + (6x + 6) = 90°

x = 6°

Explanation:

because it is a right angle, the sum of the angles = 90°

8x + (6x + 6°) = 90°

simplify:

14x + 6° = 90°

subtract 6° from each side:

14x = 84°

divide both sides by 14:

x = 6°