The measure of the complement of the angle of measure 50 degree is......... .
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14
Answer:
Step-by-step explanation:
If "x" is the degree measure of the given angle, then the measure of its complement is (x-50) degrees. And since these angles are complementary, you have this equation x + (x-50) = 90 degrees. It implies 2x - 50 = 90 ====> 2x = 90 + 50 = 140 ====> x = = 70 degrees.
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2
Concept:
When two angles are added together, complementary and supplementary angles are defined. Two angles are said to be supplementary angles because they combine to generate a linear angle when their sum is 180 degrees. When two angles add up to 90 degrees, however, they are said to be complimentary angles and together they make a right angle.
Supplementary angel,x+y=180°
Complementary angle,x+y=90°
Given:
One of the complementary angle is 50°
Find:
Find its complementary angle
Solution:
If "x" is the degree measure of the given angle, And since these angles are complementary, As per question,
x + 50 = 90 degrees.
⇒ x = 40 °
Therefore, the measure of complementary angle of 50 °is 40°
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