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# geometry

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Find angle x, in degrees.

Jun 26, 2021

#2
+152
+4

yeah it seems to be glitched -- but i somehow managed to see the image by clicking around LOL

the exterior angles of a polygon ALWAYS add up to $180^\circ$

since we know that, we can write the sum of all that we are given and write it all equal to $180^\circ$

$\large[ (5x+4)+(4x+9)+(9x-6)+(4x+1)+(7x+4)=180 \large]^\circ$

$(5x+4+4x+9+9x-6+4x+1+7x+4=180)^\circ$

$( 29x+12=180)^\circ$

$( 29x=168)^\circ$

$\boxed{ (x=\frac{168}{29}})^\circ$ which we can say just about $\boxed{5.8^\circ}$

Jun 26, 2021

#1
+2327
+1

I can't see the image.

=^._.^=

Jun 26, 2021
#2
+152
+4

yeah it seems to be glitched -- but i somehow managed to see the image by clicking around LOL

the exterior angles of a polygon ALWAYS add up to $180^\circ$

since we know that, we can write the sum of all that we are given and write it all equal to $180^\circ$

$\large[ (5x+4)+(4x+9)+(9x-6)+(4x+1)+(7x+4)=180 \large]^\circ$

$(5x+4+4x+9+9x-6+4x+1+7x+4=180)^\circ$

$( 29x+12=180)^\circ$

$( 29x=168)^\circ$

$\boxed{ (x=\frac{168}{29}})^\circ$ which we can say just about $\boxed{5.8^\circ}$

#3
+2327
+1

Nice solution. :))

=^._.^=

catmg  Jun 26, 2021
#4
+1

i thought the exterior angles added up to 360...

Jun 26, 2021
#5
+2327
+1

I think you're right.

Using the same solution idea as UsernameTooShort.

29x + 12 = 360

x = 12

=^._.^=

catmg  Jun 26, 2021
#6
+152
+1

oh lord i never noticed -- yes they indeed do add up to 360

at that moment i was working with triangles so thats why i was thinking of 180 LOL