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4 years ago

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

Mathematics

1 answer:

Anna35 [415]4 years ago

8 0

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

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Tap picture and answer all

creativ13 [48]

Check the attachment or picture for the completed worksheet.

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

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