Question

the ratio of four angles of a quadrilateral is 6:5:12:3 find the measure of greatest angle

Answer 1

HEY MATE

YOUR ANSWER IS

let the angles be 6x , 5x, 12x , 13x

Sum of angles =360°

6x + 5x + 12x + 13x = 360°

36x = 360°

x =10°

the angles are

60° , 50° , 120° and 130°

YOUR ANSWER IS IS (D) 130°

HOPE THIS HELPS YOU

Answer 2

$\tt{Here \: is \: the \: answer}$

The measure of all angles of a quadrilateral is 360°

Hence,
According to the question,

Let the common multiple be'x'

Therefore,
$\bf{6x + 5x + 12x + 13x = 360°}$

$\bf{36x = 360}\\ \bf { \frac{360}{36} =x}$

$\bf{x = 10}$

Therefore,
5x =5× 10 = 50°
6x =6 × 10 = 60°
13x =13 × 10 = 130°
12x =12 × 10 = 120°

Hence,

The measure of the greatest angle is 130°.

#BeBrainly!!