What is a complimentary angle
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In a right angled triangle, the two non-right angles are complementary, because in a triangle the three anglesadd to 180°, and 90° has already been taken by the right angle. When twoangles add to 90°, we say they "Complement" each other.
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What is complementary angle ?
Two angles are said to be complementary if their sum is a right angle (that is of 90°).
For example: 60° and 30° is a pair of complementary angles.
In following diagram in attachment file angles x and y are adjacent because they share a ray (line in black) and a vertex (point in black called D).
Now why are they complementary?
Since the measure of angle x plus the measure of angle y = 90 degrees, x and y are complementary
Angles do not have to be adjacent to be complementary. The following angles are also complementary as long as the sum of the measures equal 90 degrees
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