Question

The measures of four angles of a quadrilateral are consecutive odd natural numbers. Find the measures of these angles

Answer 1

$\bold\blue\star$$\mathrm\red{Question:-}$

The measures of four angles of a quadrilateral are consecutive odd natural numbers. Find the measures of these angles.

$\bold\blue\star$$\mathrm\red{Solution:-}$

$\mathrm{Let\: consecutive\:odd\: numbers\:be}$

$\longrightarrow$ x,x+2,x+4,x+6.

x,x+2,x+4,x+6$\mathrm{(sum\:of\: quadrilateral\:is\:360)}$

$\mathrm{Therefore,}$

$x + x + 2 + x + 4 + x + 6 = 360$

$\longrightarrow \: 4x + 12 = 360$

$\longrightarrow4x = 360 - 12$

$\longrightarrow x = 87$

$\mathrm{Now\: substitute\: value\:of\:x}$

$\mathrm\blue{so\:the\: measures\:of\: angles\:87 \:91\:93\:and\:95}$

Answer 2

Answer:

The measures of four angles of a quadrilateral are consecutive odd natural numbers. Find the measures of these angles