In figure below, angles x and y are supplementary angles. If angle x= 110, find the value of y.
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Given,
x and y are supplementary angles.
x = 110°
To find,
The value of y.
Solution,
The value of y will be 70°.
We can easily solve this problem by following the given steps.
We know that the sum of the supplementary angles is 180° whereas the sum of the complementary angles is 90°.
According to the question,
x and y are supplementary angles.
x+y = 180°
Putting the value of x,
110+y = 180°
y = (180-110)° [Moving 110 from the left-hand side to the right-hand side results in the change of the sign from plus to minus.]
y = 70°
Hence, the value of y is 70°.
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