Question

If the angles of a quardilateral ate in the ratio 1:2:4:5.then the greatest angle is

Answer 1

ANSWER
========

$\bf {\underline {GIVEN}}$

Angles of a quadrilateral are in the ratio =

1 : 2 : 4 : 5

$\bf {\underline {SOLUTION}}$

Let the angles be x , 2x , 4x and 5x

We know ,

Sum of all the angles of a quadrilateral = 360°

$\bf {\underline {THE// EQUATION //FORMED}}$

=> x + 2x + 4x + 5x = 360°

=> 12x = 360°

=> x = 360/12

=> x = 30°

$\bf {\underline {ANS}}$

The angles are :

x = 30°

2x = 2 × 30 = 60°

4x = 4 × 30 = 120°

5x = 5 × 30 = 150°

The largest Angle is 150° ANS

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#BE BRAINLY

Answer 2

$\huge{\underline{\sf{\green{Answer-}}}}$

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$\huge{\underline{\sf{\pink{Given-}}}}$

Angles of a quadrilateral are given in the ratio =>1 : 2 : 4 : 5

Now,

Let the angles be x , 2x , 4x and 5x,

$\small{\underline{\sf{\pink{As\:we\:know\:that-}}}}$

Sum of all the angles of a quadrilateral = 360°

According to questions,

=> x + 2x + 4x + 5x = 360°

=> 12x = 360°

=> x = 360/12

=> x = 30°

The angles are :

First angle x = 30°

Second angle 2x = 2 × 30 = 60°

Third angle 4x = 4 × 30 = 120°

Fourth angle 5x = 5 × 30 = 150°

The largest Angle of quadrilateral is 150°

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