Math, asked by niteshsingh92, 1 year ago

Angles of a quadrilateral are in the ratio of 1:2:3:4, determine the measure of each angle

Answers

Answered by BrainlyPrincess
4
Let thw angles of quadrilateral in the ratio 1 : 2 : 3 : 4 be x, 2x, 3x and 4x

Sum of all angles of a quadrailateral = 360°


According to the question,

x + 2x + 3x + 4x = 360

10x = 360

x = \dfrac{360}{10}

x = 36



1st angle => x

=> 36°


2nd angle => 2x

=> 2 × 36

=> 72°


3rd angle => 3x

=> 3 × 36

=> 108°


4th angle => 4x

=> 4 × 36

=> 144°





∴ The anglea of the quadrailateral are 36°, 72°, 108° and 144° respectively
Answered by ShreyaPandey21
0
Hey Mate..
Answer is in the attachment..↗↗

HOPE IT HELPS U...✌✌
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