Question

If two interior angles on the same side of a transversal intersecting two parallel lines are in the ration 3 : 7 , then the smaller of the two angles is *

Answer 1

Answer:

3:7

3x + 7x = 180

180/10

= 18

Largest angle= 18 X 7=126

Smallest angle = 18 X 3 = 54

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Answer 2

Answer:

$\red{\textbf{Answer :-}}$

$\textsf{the smaller angle is 54}$°

Step-by-step explanation:

$\textsf{Let the angles be 3x and 7x}$

Now sum of interior angles on same side of transversal intersecting two parallel lines is 180 ∘

⇒3x+7x =180 ∘

⇒10x=180 ∘

$x = \LARGE \frac{180}{10}$

⇒x= 18 ∘

So the angles are

3x = 3 × 18 ∘

= 54 ∘

7x = 7 × 18 ∘

=126 ∘

$\textsf{So, the smaller angle is 54}$°