The difference in the measure of teo complementry angles is 12degree.Fnd the measure of the angles.
And so spma otherwise you will be reprted.
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We know, two angles are said to be complementary, if the sum of their measures is 90 ∘
Let the angle be x ∘ and its complement is 90 ∘−x°
Then, according to the statement,
⇒x ∘ −(90 ∘ −x ∘ )=12 ∘
⇒x ∘ −90 ∘ +x ∘
=12 ∘
⇒2x ∘
=12 ∘ +90 ∘
=102 ∘
⇒x ∘ = 2
102 ∘
=51 ∘
.
Hence, the measure of the angle is x=51 ∘
and its complement is 90 o
−x=90 o
−51 o
=39 ∘
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