Answer :
Answer:
21°
Step-by-step explanation:
Supplementary is defined as two angles whose sum is 180. These angles must therefore be on a straight line cut by a transversal and must be less than 180 by themselves.
If one angle is 159, then we can simply subtract it from 180 to get the other angle.
A more algebraic way is to set up the equation, 159 + x = 180. Subtract 159 from 180 to find x.
The Measure of supplementary angle is 21⁰.
What are supplementary angle?
The pair of angles that always add up to 180 degrees are referred to as supplementary angles. The term "supplements of each other" refers to these two angles. The Latin words "Supplere" and "Plere" are the source of the word "supplementary." "Supplere" means "supply," while "Plere" means "fill." Thus, "something when supplied to complete a thing" is the definition of "supplementary."
Given an angle 159⁰
and according to supplementary angles property,
when sum of two angles is 180⁰ are supplementary
∠A + ∠B = 180⁰ (angles are supplementary)
Let the another angle be x
159 + x = 180
x = 180 - 159
x = 21⁰
Hence the supplementary angle is 21⁰.
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