- #1

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- Homework Statement
- See attached

- Relevant Equations
- Deductive Geometry- Alternate segment theorem

Question;

Text Solution;

My reasoning;

##∠ABC= 180^0 -(32^0+60^0)##

=##88^0##

##∠ABC=∠ACF=88^0## (Alternate segment theorem).

##∠EBC=92^0## i.e angles lying on a straight line and ##∠BCE=180^0 -(88^0+60^0)=32^0## therefore;

##∠BEC=180^0 -(32^0+92^0)=56^0##

##∠ECA=∠ADC=32^0+60^0=92^0## (by Alternate segment theorem).

Cheers...there may be another way of looking at this...

Text Solution;

My reasoning;

##∠ABC= 180^0 -(32^0+60^0)##

=##88^0##

##∠ABC=∠ACF=88^0## (Alternate segment theorem).

##∠EBC=92^0## i.e angles lying on a straight line and ##∠BCE=180^0 -(88^0+60^0)=32^0## therefore;

##∠BEC=180^0 -(32^0+92^0)=56^0##

##∠ECA=∠ADC=32^0+60^0=92^0## (by Alternate segment theorem).

Cheers...there may be another way of looking at this...