Mathematics

Which has a greater measure:(i) an angle complementary to $15^{\circ}$(ii) an angle supplementary to $125^{\circ}$

(i)

SOLUTION
Let $x$ be the complement
$\therefore x+15^{ \circ }=90^{ \circ }\\ \Rightarrow x=90^{ \circ }-15^{ \circ }=75^{ \circ }$
Let $y$ be the supplement
$\therefore y+125^{ \circ }=180^{ \circ }\\ \Rightarrow y=180^{ \circ }-125^{ \circ }=55^{ \circ }$
So complement has greater value.
Option $A$ is correct.

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Single Correct Medium Published on 09th 09, 2020
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