Question

HELP ME ! Lines l and m are parallel.

Answer 1

Answer:

The correct option is A

A) 25 degrees

Step-by-step explanation:

As two parallel line l and m are cut by the line t, the angles formed (x-10)° and < 3 are alternate angles, therefore they are equal to each other.

< 3 = (x-10)° ⇒ Equation (i)

We know that any straight line has a sum of angles equal to 180°.

Consider line t, it is divided into 3 angles due to cutting. Those angles are 85°, (2x)° and (x-10)°. The sum of these angles is 180° as stated before.

85° + (2x)° + (x-10)° = 180°

Find the value of x:

85 +2x + x - 10 = 180

3x + 75 = 180

3x = 105

x = 35°

Substitute it in Equation (i) to get the value of <3

< 3 = (35 - x)°

< 3 = (35 - 10)°

< 3 = 25°