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square MRPN is cyclic , / R = ( 5x - 13)...

`square MRPN` is cyclic , `/_ R = ( 5x - 13) ^(@) , /_ N = ( 4x + 4)^(@) `.Find measures of `/_ R ` and `/_ N ` .

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The correct Answer is:
`angle R = 92^(@)` and `angle N = 88^(@)`
`square MRPN` is cyclic.`" ""…….."( Given ")`
`:.` By theroem of cyclic quadrilateral,
`/_R+/_N=180^(@)`
`:.(5x-13)^(@)+(4x+4)^(@)=180^(@)`
`:.5x-13+4x+4=180`
`:. 9x-9=180`
`:.9x=180+9`
`:.9x=189`
`:. x=(189)/(9)`
`:.x=21`
`/_R=5x-13`
`:. /_R=5(21)-13`
`:./_R=105-13 " ":./_R=92^(@)`
`/_N=(4x+4)`
`:./_N=4(21)+4`
`:./_N=84+4" ":./_N=88^(@)`
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