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ત્રિકોણ

bold increment bold space bold ABCમ ાં bold space bold BE with bold bar on top bold space bold perpendicular bold space bold AC with bold bar on top bold space bold comma bold space bold D bold space bold element of bold space bold BC with bold bar on top

કે જેથી B – D – C. જો

bold m bold space bold angle bold space bold EBC bold space bold equals bold space bold 40 bold comma bold space bold m bold space bold angle bold space bold DAC bold space bold equals bold space bold 30 bold comma bold space bold ત ો bold space bold m bold space bold angle bold space bold BCE

શોધો તથા

bold m bold space bold angle bold space bold ADC

શોધો.

bold increment bold space bold ABC

ના ખૂણાઓનાં માપ 2 : 3 : 5ના પ્રમાણમાં હોય, તો તમામ ખૂણાઓનાં માપ શોધો.

$bold increment bold space bold ABCમ ાં bold space bold m bold space bold angle bold space bold A bold space bold colon bold space bold m bold space bold angle bold angle bold space bold B bold space bold colon bold space bold m bold space bold angle bold space bold C bold space bold equals bold space bold 2 bold space bold colon bold space bold 3 bold space bold colon bold space bold 5 bold space bold છ ે bold.$

આથી જો $bold m bold space bold angle bold space bold A bold space bold equals bold space bold 2 bold k bold comma bold space bold ત ો bold space bold m bold space bold angle bold space bold B bold space bold equals bold space bold 3 bold k bold space bold અન ે bold space bold m bold space bold angle bold space bold C bold space bold equals bold space bold 5 bold k bold.$

$bold increment bold space bold ABC$ માં,

$bold m bold space bold angle bold space bold A bold space bold plus bold space bold m bold space bold angle bold space bold B bold space bold plus bold space bold m bold space bold angle bold space bold C bold space bold equals bold space bold 180 bold therefore bold space bold 2 bold k bold space bold plus bold space bold 3 bold k bold space bold plus bold space bold 5 bold k bold space bold equals bold space bold 180 bold therefore bold space bold 10 bold k bold space bold equals bold space bold 180 bold therefore bold space bold k bold space bold equals bold space bold 180 over bold 10 bold therefore bold space bold k bold space bold equals bold space bold 18 bold therefore bold space bold m bold space bold angle bold space bold A bold space bold equals bold space bold 2 bold k bold space bold equals bold space bold 2 bold space bold cross times bold space bold 18 bold space bold equals bold space bold 36 bold space bold space bold space bold space bold m bold space bold angle bold space bold B bold space bold equals bold space bold 3 bold k bold space bold equals bold space bold 3 bold space bold cross times bold space bold 18 bold space bold equals bold space bold 54 bold space bold space bold space bold space bold m bold space bold angle bold space bold C bold space bold equals bold space bold 5 bold k bold space bold equals bold space bold 5 bold space bold cross times bold space bold 18 bold space bold equals bold space bold 90$

આમ, $bold increment bold space bold ABC$ ના ખૂણાઓનાં માપ 36, 54 અને 90 છે.

$bold increment bold space bold ABC$ માં, $bold m bold space bold angle bold space bold A bold space bold minus bold space bold m bold space bold angle bold space bold B bold space bold equals bold space bold 70 bold space bold અન ે bold space bold m bold space bold angle bold space bold B bold space bold minus bold space bold m bold space bold angle bold space bold C bold space bold equals bold space bold 40$ હોય, તો $bold increment bold space bold ABC$ ના તમામ ખૂણાઓનાં માપ શોધો.

નીચેની દરેક આકૃતિમાં xની કિંમત ગણો : (x દર્શાવેલ ખૂણાનું માપ દર્શાવે છે.)

જો $bold increment bold space bold ABC$ ના બહિષ્કોણ $bold angle bold space bold ACD$ નું માપ 120 છે અને તેના બે અંતઃસંમુખકોણ પૈકી કોઈ એકનું માપ 40 છે, તો $bold increment bold space bold ABC$ ના અન્ય ખૂણાનાં માપ શોધો.

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