Question

find the measure of x in the figure​

Answer 1

Answer:

sum of all exterior angles are -360

ATQ

2x+2x-5+x+15+3x-10=360

8x=360

x=45

so the value of x is 45

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Answer 2

$\textsf{Sum of all exterior angles = 360⁰}$

$\textsf{2x + (3x - 10) + (2x - 5) + (x + 15) = 360⁰ }$

$\textsf{2x + 3x - 10 + 2x - 5 + x + 15 = 360⁰ }$

$\textsf{8x + 15 - 15= 360⁰ }$

$\textsf{8x = 360⁰ }$

$\sf{x = \frac{ 360⁰ }{8}}$

$\sf \huge{\pink{\fcolorbox{blue}{azure}{x = 45⁰}}}$

$\texttt \purple{For hand-written solution,} \\ \texttt \orange{ see the attachment }$