Math, asked by vandanaamrute9, 8 days ago

18. In the figure, AB CD. What is x+y: a) 40 b) 60 c) 100 d) 80​

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Answered by itsRakesh
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Answer:

In the given figure, AB is parallel to CD

Method 1)

Using the properties of parallel lines intercepted by a line, we get angle x = 40° and y = 60°

Therefore x + y = 100°

Method 2)

You notice that a triangle is present in the figure, with two of it's angles provided.

The third angle will be (180 - (40+60)) = 80 °, as sum of all interior angles of a triangle is equal to 180°

Now consider the line CD. Since CD is a straight line, it subtends an angle of 180° at any point on the line. So therefore:

x + y + 80° = 180°

Therefore, x + y = 180°-80° = 100°

Hope you understood. If yes, plz mark my answer as the brainliest

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