Question

in the figure both RISKandCLUEare ||○gm.find the vslue of x​

Answer 1

Answer:

x is 50°

Step-by-step explanation:

given RISK is a ||gm

in a ||gm opposite angles are equal and sum of

adjacent angles is 180°

given ,

angle RKS is 120° then angle SIR is also 120° because it is opposite to angle RKE

RKS + KSI = 180° { sum of adjacent angles ina ||gm is 180° }

KSI = 180° - 120°

angle KSI = 60°

angle KSI = angle KRI{ opposite angles of ||gm are equal}

let the point of intersection of lines IS and EC be O

given CLUE is also a ||gm

and angle ULC = 70°

angle ULC + angle ECL = 180° {sum of adjacent angles in a

|| gm is 180°}

so angle ECL = 110°

angle CLU = angle CEU( opposite angles of ||gm are equal)

so angle CEU = 70°

angle ISK = angle KRI

so ISK is 60°

see in ΔOSE ,

we have got angle OES = 70° , angle OSE = 60°

by angle sum property ,

OES + OSE + EOS = 180°

angle EOS is nothing but x°

70° + 60° + x° = 180°

x° = 180° - 130°

x ° = 50°