Question

What is the value of J?

Answer 1

100°

Explanation:

Supplementary angle pairs sum to 180°.

Supplementary Angles

Supplementary angle pairs form a straight line. Since straight lines have a measure of 180°, the sum of supplementary angles is always 180°. Supplementary angles do not necessarily have to be adjacent, but the angles above are. Since the angles above create a straight line together, they must be supplementary angles.

Solving for j

Now that we know that the sum must be 180°, we can create an equation to find j.

• j + 80 = 180

To solve this, all we need to do is subtract 80 from both sides.

• j = 100

Angle j must have a measure of 100°.