The complement of angle is 26° find the supplement of that angle .
PLEASE SOLVE IT
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here complementary angle is given 26 degree
then the angle which 26 degree complement is 90 - 26 = 64
64 is the main angle
supplementary angle is equal to 180-64=116
then the angle which 26 degree complement is 90 - 26 = 64
64 is the main angle
supplementary angle is equal to 180-64=116
Answered by
1
Given : The complement of angle is 26°
To find : The supplement of the angle.
Solution :
We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the supplement of the said angle)
Now, we know that :
- If sum of two angles is equal to 90°, then those angles are called complementary angles.
- If sum of of two angles is equal to 180°, then those angles are called supplementary angles.
Let, the angle = x°
According to the previously mentioned mathematical property of complementary angle, we get :
90 - x = 26
-x = 26 - 90
-x = -64
x = 64
So, the main angle = x° = 64°
Now, the supplement of the main angle will be :
Main angle + Its supplement = 180°
Its supplement = 180° - Main angle
Its supplement = 180° - 64°
Its supplement = 116°
(This will be considered as the final result.)
Hence, supplement of that angle is 116°
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