In a triangle, one angle is a complement of the other angle. What is the value of the third angle?



Step by Step Explanation:
  1. Let us recall the fact that in a triangle, the sum of all its internal angles is 180°.
  2. Let us look at the definition of complementary angles: two angles are complementary if their sum is 90°.
  3. In the given triangle, two angles are complementary to each other. This means, the sum of two angles is 90°. Let us assume the third unknown angle is y. This means:
    y + 90° = 180°
    or, y = 180° - 90°
    or, y = 90°
  4. Therefore, the third angle is 90°.

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