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Question

In the figure given below, If ABCD and CDEF and y : z = 3 : 7, find x. [4 MARKS]

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Solution

Concept: 1 Mark
Application: 2 Marks
Answer: 1 Mark

Let the angles be y=3a,z=7a;

QRE and QRF form a linear pair

QRE+z=180

QRE=180z=1807a

y=QRE (Corresponding angles)

3a=1807a

10a=180

a=18

y=3×a=3×18=54

APQ and CQP are supplementary. (since ABCDEF)

x+y=180

x+54=180

x=126

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