Question

one of the angle of a quadrilateral is a right angle.The other three is (x-10), (30+2x) and (5x+30).Find the measure of largest angle​

Answer 1

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$Angles\:of\:the\:Quadrilateral\:are=90°,x-10°,30+2x°,5x+30°$

$\mathtt{According\:to\:Ques}$

$\mathtt{90°+(x-10°)+(30+2x°)+(5x+30°)=369°}$

$\mathtt{90°+8x+50=360°}$

$\mathtt{8x+140=370°}$

$\mathtt{8x=360-140}$

$\mathtt{x=220/8}$

$\mathtt{x=27.5°}$

____________________________________

The following angles are:-

30+2x=30+2×27.5

=30+ 55°

= 85°

5x+30°=5×27.5+30

=137.5°

x-10°=27.5-10°

=17.5°