Question

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$\bf{hello \: todays \: question}$
The measure of one angle is 12 degree more than half the measure of its compliment, find measures of two angles?
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Answer 1

Explanation:

57° and 33°

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Answer 2

1st angle = 38°

2nd angle = 52°

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\orange{\bigstar}★ $Given \green{\bigstar}$★

1 . The measure of one angle is 12 degree more than half the measure of its compliment

$\orange{\bigstar}★ To Find \green{\bigstar}$★

Two angles

$\orange{\bigstar}★ Solution \green{\bigstar}$★

Let 1st angle be , " x "

So , Complementary angle be ,

" ( 90 - x ) "

From condition 1 ,

⇒ x = ( 90 - x ) / 2 + 12

⇒ 2x = 90- x + 24

⇒ 2x + x = 90 + 24

⇒ 3x = 114

⇒ x = 38 $\pink{\bigstar}$★

So ,

1st angle , x = 38° $\pink{\bigstar}★$

2nd angle , ( 90 - x ) = 52° $\pink{\bigstar}★$

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