Mathematics: Need answer quick

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03.09.2022

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24.01.2023, solved by verified expert

Rajat Thapa

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Mathematics, DAV Post Graduate College

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Answer:

x = 12

Step-by-step explanation:

The figure can be labelled as :

Need answer quick, №15256422, 03.09.2022 20:18

From the figure,

m<ACB = m<DCE (vertically opposite angles are equal)

So, m <ACB = 81°

Now, according to exterior angle property of a triangle,

Exterior angle = Sum of two opposite interior angles

So, for the given figure,

m<CBF = m<BAC + m<ACB

7x + 23 = 26 + 81

7x = 84

x = 84/7

Thus, x = 12

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