Question

The angle of a quadrilateral are in the ratio 1:3:5:6 find the greatest angle​

Answer 1

Answer:

find its greatest angle that the angles of the parallelogram the x 3 x 5 and 6 others the angles are

Answer 2

Answer:

$\small \bf \blue{Let \: the \: angles \: be \: 1x, \: 3x, \: 5x \: and \: 6x.}$

$\small \bf \blue{1x \: + \: 3x \: + \: 5x \: + \: 6x \: = \: 360° \: (sum \: of \: angles \: of \: quadrilateral)}$

$\small \mathbf \pink{15x° = 360°}$

$\small \mathbf \pink{x° = 24°}$

$\small \bf \blue{Therefore, \: angles \: are \: as \: follows:}$

$\small \mathbf \green{1x°= 24°}$

$\small \mathbf \green{3x° = 24° \times  3 = 72°}$

$\small \mathbf \green{5x° = 24° \times 5 = 120°}$

$\small \mathbf \green{6x° = 24° \times 6 = 144°}$

$\small \mathbf \red{Hence, \: 144° \: is \: the \: greatest \: angle.}$