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Question

Q. Find the largest angle of a quadrilateral if the measures of its interior angles are in the ratio 1: 2: 3: 4.

Q. चतुर्भुज का सबसे बड़ा कोण ज्ञात करें यदि इसके आंतरिक कोणों का माप 1: 2: 3: 4 के अनुपात में है।

A

18 degrees
18 डिग्री
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B

36 degrees
36 डिग्री
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C

72 degrees
72 डिग्री
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D

144 degrees
144 डिग्री
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Solution

The correct option is D
144 degrees
144 डिग्री
Let the Angles be x,2x,3x and 4x respectively.
According to the question, x+2x+3x+4x = 360
Thus, x = 36 degrees
Now, the largest angle = 4x = 144 degrees

माना कोण क्रमशः x, 2x, 3x और 4x हैं। प्रश्न के अनुसार, x + 2x + 3x + 4x = 360
इस प्रकार, x = 36 डिग्री
अब, सबसे बड़ा कोण = 4x = 144 डिग्री

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