Question

if two adjacent angles of a parallelogram are (5x-5) and (10x+35), then the ratio of this angle is​

Answer 1

$\huge\rm\underline\pink{GIVEN:}$

• $\large\rm{Two\:adjacent\:angles\:of\:parallelogram\:are\:(5x-5)\:and\:(10x+35)}$

$\huge\rm\underline\pink{TO\:FIND:}$

• $\large\rm{Ratio\:of\:the\:angles}$

$\huge\rm\underline\pink{SOLUTION:}$

$\large\rm{Adjacent\:angles\:of\:given\:parallelogram\:are\:(5x-5)\:and\:(10x+35)}$

$\large\rm\bold{\boxed{Sum\:of\:two\:adjacent\:angles\:of\:parallelogram\:is\:180°}}$

$\large\rm{\implies{5x-5+10x+35\:=\:180°}}$

$\large\rm{\implies{15x+30\:=\:180°}}$

$\large\rm{\implies{15x\:=\:180°-30°}}$

$\large\rm{\implies{15x\:=\:150°}}$

$\large\rm{\implies{x\:=\:\frac{150}{15}}}$

$\large\rm{\implies{x\:=\:10}}$

$\large\rm{\rightarrow{The\:angle\:(5x-5)\:=\:5(10)-5\:=\:45°}}$

$\large\rm{\rightarrow{The\:angle\:(10x-35)\:=\:10(10)-35\:=\:65°}}$

$\large\rm{\therefore{Ratio\:between\:these\:angles\:=\:45:65\:=\:9:13}}$

Answer 2

Really Dear Renuka your Answers are of high quality

Thank You for helping