If a pair of vertically opposite angles is also supplementary. Find the value of either of the angles.


Both angles are 90°.

Step by Step Explanation:
  1. The two angles are said to be supplementary if the sum of their measures is 180°.
  2. When two angles are vertically opposite to each other, they must be equal.
  3. Let the two angles in question be a and b.
  4. Since, the sum of the two angles is 180°, we can write:
    a + b = 180°
    or, 2a = 180° (Since, a and b are equal)
    or, a = 90°
  5. Since, a = b, the measure of b = 90°.
  6. Therefore, the value of either of the angle is 90°.

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