Three angles that add up to $180 °$ are in the ratio $2 : 3 : 7$ . Find them.

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Solution

Explanation:Find the angles.
Given,The ratio of three angles $= 2 : 3 : 7$
Let $t h e f i r s t a n g l e b e = 2 x, s e c o n d a n g l e = 3 x a n d t h i r d a n g l e = 7 x$
$2 x + 3 x + 7 x = 180 °$
$\Rightarrow 12 x = 180 ° \Rightarrow x = 180 ° / 12 = 15 °$
$∴ F i r s t a n g l e = 2 x = 2 \times 15 ° = 30 °$
$S e c o n d a n g l e = 3 x = 3 \times 15 ° = 45 °$
$T h i r d a n g l e = 7 x = 7 \times 15 ° = 105 °$
Therefore,First Angle: $= 30 °$ ,Second Angle: $= 45 °$ ,Third Angle: $= 105 °$ .

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