Answer:
x in the diagram is 12°
Explanation:
There are three angles on the straight line drawn on the picture, which are 90° , (6x - 2)° , and 20°.
To solve for x;
Sum of all angles on a straight line is 180°
90° + (6x - 2)° + 20° = 180°
open the bracket
90° + 6x° - 2° + 20° = 180°
6x° + 108° = 180°
collect all like terms to a side
6x° = 180° - 108°
6x° = 72°
divide both sides by 6
x° = 72/6
x° = 12°
AnswerCheck
(6x - 2)° + 20° = 90°
[6(12) - 2]° + 20° = 90°
[72 - 2]° + 20° = 90°
70° + 20° = 90°
90° = 90°
correct !!