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Sagot :
A and D have the same measure, let's call that x
C and B have the same measure, let's call that y
That would mean 2x+2y=360
Since C is equal to 4 times A, that means y=4x
2x+2(4x)=360
2x+8x=360
10x=360
x=36
A and D both equal 36 degrees
B and C both equal 36 times 4, or 144 degrees
C and B have the same measure, let's call that y
That would mean 2x+2y=360
Since C is equal to 4 times A, that means y=4x
2x+2(4x)=360
2x+8x=360
10x=360
x=36
A and D both equal 36 degrees
B and C both equal 36 times 4, or 144 degrees
[tex]\angle A=\angle D\\
\angle C=\angle B\\\\
4\angle A=\angle\ C\\\\
\angle A+\angle B+\angle C+\angle D=360\\
\angle A+\angle A+4\angle A+4\angle A=360\\
10\angle A=360\ \ |Divide\ by\ 10\\
\angle A=36^{\circ}\\\\
\angle D=36^{\circ}\\\\
\angle B=144^{\circ}\\\\\angle C=144^{\circ}[/tex]
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