Question

Below, l1 || l2 with transversal lines m and n. Find the values of A and B​

Answer 1

The values of A and B are 105° and 50°

Step-by-step explanation:

We can find A by using lines $l_{1}$ , $l_{2}$ and line n

∵ $l_{1}$ // $l_{2}$

∵ n is a transversal

∴ Angle A is congruent to the supplement angle of 75° ⇒

  corresponding angles

∵ The sum of measures of the supplement angles is 180°

∴ A + 75 = 180

- Subtract 75 from both sides

∴ A = 105°

By using lines $l_{1}$ , $l_{2}$ and line m we can find B

∵ $l_{1}$ // $l_{2}$

∵ m is a transversal

∴ Angle 55° is congruent to the angle between $l_{2}$ and m

  above 75° ⇒ alternate angles

∴ The measure of this angle is 55°

∵ This angle , 75° and B formed a line

∴ The sum of their measures is 180°

∴ 55° + 75° + B = 180°

- Add like terms in the left hand side

∴ 130 + B = 180

- Subtract 130 from both sides

∴ B = 50°

The values of A and B are 105° and 50°

Learn more:

You can learn more about parallel lines in brainly.com/question/10483199

#LearnwithBrainly