In the given figure the value of x and y is x=45∘y=75∘
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In the given figure, the value of 'x' and 'y' is:
A. x=45∘,y=75∘
B. x=30∘,y=55∘
C. x=60∘,y=75∘
D. x=45∘,y=30∘
Please scroll down to see the correct answer and solution guide.
Right Answer is: C
SOLUTION
From exterior angle property of triangles, we have
45∘+y=120∘⇒y=120∘−45∘=75∘⇒y=75∘
From angle sum property of triangles, we have
45∘+75∘+x∘=180∘⇒x=180∘−120∘⇒x=60∘
Hence, the value is x=60∘,y=75∘
