Question

Find the measure of each angle in the angle pair described. Start by drawing a diagram.

The measure of one angle is 50 less than the measure of its complement. PLEASE HELP ASAP

Answer 1

Answer: 20 degrees

Explanation:

x+x+50=90

2x+50=90

2x=40

x=20 degrees, assuming you're trying to solve for x

Answer 2

B

90°

Explanation:

Complementary angles: Two angles whose measures sum to 90°.

Diagram B shows a pair of complementary angles as the sum of the angles has a right angle (90°) symbol.

Therefore, the measure of the angle is 90°.

To find x:

⇒ x° + (x + 50)° = 90°

⇒ 2x° + 50° = 90°

⇒ 2x° + 50° - 50°= 90° - 50°

⇒ 2x° = 40°

⇒ 2x° ÷ 2 = 40° ÷ 2

⇒ x° = 20°

Therefore, the two angles are: 20° and 70°.

Additional Information

• Diagram A shows an angle bisector (blue line) so x and (x + 50) are equal. Since x ≠ x + 50 this is undefined.

• Diagram C shows a linear pair (sum to 180°). Two angles whose measures sum to 180° are called supplementary angles.

• Diagram D shows vertically opposite angles. Vertically opposite angles are equal, so as x ≠ x + 50 this is undefined.