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3 years ago

The image below shows two parallel lines cut by a transversal. What is the value of A

Mathematics

1 answer:

rewona [7]3 years ago

3 0

Answer

59°

Explanation

There are 2 parallel line and one transverse.

Angles in a straight line add up to 180°

∴ 180 - (2a + 3) = 180 - 2a -3

= 177 - 2a

The angle (177 - 2a) corresponds to angle a in the diagram. The two corresponding angles are equal.

∴ 177 - 2a = a

177 = a + 2a

3a = 177

a = 177/3

= 59°

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