Question

five amgle of pantagon are in the ratio of 5:6:7:8:10 find angles​

Answer 1

ANSWER:-

given

the angles of Pentagon are in the ratio

5:6:7:8:10

REQUIRED TO FIND:-

$\bf All \:the\: angles \:of \:Pentagon$

METHOD:-

as the question tells u that they are in the ratio 5:6:7:8:10

let us assume angles of Pentagon as 5x,6x,7x,8x,10x

$\Huge\bf sum\: of\: angles \:of \: Pentagon =540 degrees$

now let us add all the assumed angles and equate that to 540 degrees

$5x + 6x + 7x + 8x + 10x = 540$

$36x = 540$

$x = \frac{540}{36} = 15$

$\Huge \bf {\boxed {x=15 degrees}}$

now let us find the angles

the angles are

15×5=75°

15×6=90°

15×7=105°

15×8=120°

15×10=150°

VERIFICATION:

75+90+105+120+150=540°