answer question number 17 a
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this is type of quadiratral .
in ABCD
angle ABC + angle ADC +angle BAD +angle BCD =360 ------------(1)
also ,
Angle ADC (inner ) +angle ADC (external ) =360
angle ADC (external )=360 - x -----------(2)
now,
by equation (1)
beta + (360 -x ) + alpha + gama =360
{ from equation (1) angle ADC =360 -x
alpha + beta + gama = x
hence proved
in ABCD
angle ABC + angle ADC +angle BAD +angle BCD =360 ------------(1)
also ,
Angle ADC (inner ) +angle ADC (external ) =360
angle ADC (external )=360 - x -----------(2)
now,
by equation (1)
beta + (360 -x ) + alpha + gama =360
{ from equation (1) angle ADC =360 -x
alpha + beta + gama = x
hence proved
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