Find the missing angle {ACT}

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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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