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