the sum of two angles is 80 grades and thier diff. is 18degree fimd the anglea Share with your friends Share 4 Tanveer Sofi answered this Let the measures of the angles be x degrees and y degrees.It is given that the sum of these two angles is 80 grades.Converting grades into degrees, using 100 grades= 90 degrees.80 grades=90100×80 degrees=72 degrees; we can writex+y=72 ......... iAlso, the difference of these two angles is 18 degrees, thereforex-y=18 ........ iiAdding equation i to equation ii, we get2x=90⇒x=45.From equation i, we havey=72-x=72-45=27.Therefore, the measures of the angles are 45∘ and 27∘. 3 View Full Answer