The difference between the measure of two complementary angle is 16°. The measure of two angle is".
Answers
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.
Given:
The difference between the measure of two complementary angle is 16°.
Find:
The measure of two angle is".
Solution:
Let the first angle be x
The second angle be x+16°
As per question,
x+x+16=90°
⇒2x+16=90°
⇒2x+16=90°
⇒x+8=45°
⇒x=45°-8°
⇒x=37°
x+16=53°
Therefore, the first angle be=37°
the second angle be=53°
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Answer:
The measure of the two angles = 53° and 37°
Step-by-step explanation:
Given,
The difference between the measure of two complementary angle = 16°
To find,
The two angles
Recall the concept:
Two angles are said to complementary if their sum is 90°
Solution:
Let 'x' and 'y' be the two complementary angles.
x+y = 90 ---------------(1)
Since the difference between the measures = 16°, we have x - y = 16°
x = y+16° ----------------(2)
Substituting the value of x from equation (2) in equation (1)
y+16 +y = 90
2y = 90 - 16
2y = 74
y = 37
x = y + 16 = 37 +16 = 53
x = 37 and y = 53
Hence the measure of the two angles = 53° and 37°
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