Question

what are the measures of interior angles on the same side of the transversal if they are in the ratio of 5:7?

Answer 1

Let the angles be 5a and 7a

Sum of interior angles on the same side a transversal line is 180°

=> 5a + 7a = 180

=> 12a = 180

=> a = 15

First angle = 5 × 15 = 75°

Second angle = 7× 15 = 105°

Answer 2

Hey mate!!!!

Here's your answer!!

The interior angles of a transversal have their sum equal to 180°

So, ATQ:

We let the angles = 5x and 7x
$5x + 7x = 180° \\ 12x = 180° \\ \\ x = \frac{180}{12} \\ \\ x = 15°$

Therefore, the angles are:
$5x = 5 \times 15 \\ = 75° \\ \\ 7x = 7 \times 15 \\ = 105°$

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