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CIRCLES!! Need help

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Answer all or just one please I need help and answers!!!

CIRCLES!! Need help Picture: Answer all or just one please I need help and answers-example-1
User Summer Sun
by
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1 Answer

6 votes

Answer for the question No.17

Answer:


x=28.11\ degree


m\angle\ ABC=28.11\ degree

Explanation:

Answer for the question No.17

Given:-


\angle\ BAD=(5x+10)\ degree


\angle\ ADC=(87)\ degree


\angle\ DCB=(3x+10)\ degree

Let,
m\angle\ ABC=x

In quadrilateral ABCD,


\angle\ BAD+\angle\ ABC+\angle\ DCB +\angle\ ADC =360\ degree ---(sum of angle of quadrilateral is 360 degree)


\therefore\ (5x+10)+x+(3x+10)+87=360


9x+107=360


9x=360-107


9x=253


x=(253)/(9)


\therefore\ x=28.11\ degree

SInce x=
m\angle ABC


\therefore\ m\angle\ ABC=28.11\ degree

User Fyhuang
by
7.6k points

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