Question

(i) 45°
(ii) 65°
(in) 41°
3. The difference in the measures of two complementary angles is 12". Find the measures of the angles.
5.2.2 Supplementary Angles

Answer 1

Answer:

51° and 39°

Step-by-step explanation:

let first angle be x then other will be x-12°

we know some of complimentary angles=90°

x + x-12=90

or 2x-12=90

=>2x=90+12

=>2x= 102

=>x=102/2

=>x=51

first angle =51°

2nd angle= x-12°= 51°-12°=39°

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Answer 2

Answer:

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Step-by-step explanation:

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 ° −x=90 ° −51 ° =39 ∘

. the ans is 39°and 51°