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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

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 PLE class=

Sagot :

Answer: 20 degrees

Step-by-step explanation:

x+x+50=90

2x+50=90

2x=40

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

semsee45

Answer:

B

90°

Step-by-step 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.
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