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Q.

Choose the correct option provided below for the following question. From the figure given below, find the values of x and y.


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a

Question Image

b

Question Image

c

Question Image

d

Question Image

answer is D.

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Detailed Solution

Concept: First, give each of the two triangles a name. We must consider two triangles independently in order to identify the variables. First, utilizing the Angle sum feature of triangles, we must choose one of the triangles and get its variable. Once we know the value, we must use the obtained value and the same attribute to determine the value of another triangle.
Let's start by giving the triangle's name, as seen in the figure below.
seoLet's use ABC.
We have,
 Question ImageApplying the Angle sum property
Question ImageWe have x=50 in the other triangle, which is BED, now that we have it.
Question ImageBy angle sum property,
Question ImageHence, the correct answer is option 4) Question Image 
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Choose the correct option provided below for the following question. From the figure given below, find the values of x and y.