Question

Two Adjacent angles on a straight line are in ratio 3:7 . Find the measure of each angle

Answer 1

let the angle be x
sum of two adjacent angle is 180 and make( linear pair)
3x+7x_180
10x_180
x_180/10_18
hence x_18 and
1st angle is 18×3=54
2nd angle is 18×7_126.
≡

Answer 2

The two adjacent angles are $54^{\circ}$ and $126^{\circ}$.

Step-by-step explanation:

We have to find the measure of each angle.

Let the two adjacent angles as 3x and 7x

We know that the two adjacent angles form a linear pair

So, we can write this as

⇒ $3x+7x=180$

⇒ $10x =180$

⇒ $x =\frac{180}{10}$

⇒ $x = 18$

Substituting the value of x in two adjacent angles

$3x = 3 \times 18$

    $= 54^{\circ}$

$7x = 7 \times 18$

    $= 126^{\circ}$

Hence, the two adjacent angles are $54^{\circ}$ and $126^{\circ}$.

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