Question

The angles below are supplementary. What is the value of x?

Answer 1

11°

Explanation:

Since (7x + 33°) and 70° are supplementary angles.

Hence,

7x + 33° + 70° = 180°

7x + 103° = 180°

7x = 180° - 103°

7x = 77°

x = 77°/7

x = 11°

Answer 2

`\boxed{x=11}`

Explanation:

In order to solve this equation, we need to know that both values add up to make a supplementary angle, or a 180° angle. Therefore, adding the values and setting them equal to 180 will solve for x.

`7x + 33 + 70 = 180` Add like terms to simplify the equation.

`7x + 103 = 180` Subtract 103 from both sides of the equation.

`7x = 77` Divide by 7 on both sides of the equation to isolate the variable.

`\boxed{x=11}`