one more please help! http://www.rmes.us/AngelUploads/Content/MAT201//_assoc/Content/G%20Images/u2m3q4.jpg Use the Interior Angle Sum Conjecture to find the measure of angle a. For full credit, show your work or your reasoning.
\[2a=540-(180-70)-(180-68)-116-110\] \[2a=92\] \[a=46\] pentagon interior angles sum to 540 degrees and you can solve for the two unknown angles by subtracting their measures from 180 (seen above)
well, to be more verbose, you can solve for the unlabeled unknown angles by subtracting their adjacent angle from 180 e.g. 180-70=110 and 180-68=112. also because angle "a" is indicated to be present twice, you can do as i did above and set the remainder from 540-110-112-116-110 equal to 2a, then divide your answer by 2 to yield the actual value of "a". good luck
Join our real-time social learning platform and learn together with your friends!