Angles f°, c°, and e° add up to 180° because they lie on a straight line. Angles a and e are equal because they are vertical angles. It is given that f° = 85° and c° = 25°, therefore angle e° would be 180  (f + c) {angles on a straight line add up to 180°} 180  (85 + 25) {substituted 85 for f and 25 for c} 180  (110) {added inside parentheses} angle e° = 70 {subtracted} Angles a° and e° are vertical angles and are equal, therefore angle a° = 70 C.) 70  Algebra House
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