In pentagon ABCDF, the measures of angle A and angle B are both One hundred degrees The measures of angle C and angle D are both One hundred fifteen degrees What is the measure of angle F? seventy degrees one hundred ten degrees four hundred seventy degrees three hundred twenty five degrees

Question

In pentagon ABCDF, the measures of angle A and angle B are both One hundred degrees The measures of angle C and angle D are both One hundred fifteen degrees What is the measure of angle F?  seventy degrees  one hundred ten degrees  four hundred seventy degrees  three hundred twenty five degrees

aivantettet26 · Answer

could you draw it?

anonymous · Answer

Are your options: 
A. 70º seventy degrees  
B. 110º one hundred ten degrees  
C. 470º four hundred seventy degrees  
D. 325º three hundred twenty five degrees

anonymous · Answer

For a pentagon:
S(i) = 180x(5-2) = 180x3 = 540 degrees

anonymous · Answer

yes

radar · Answer

Oh I see you know they sum up to 540 degrees.  That is the key.

radar · Answer

Sum up what you have given by the problem.

anonymous · Answer

Really you just need to subtract now. 
$$540−(100+100+115+115)=? $$$$540-200-230= 110$$ So your answer is B!