Answer:
a = 60, b = 19, c = 101, d = 79, e = 50
Step-by-step explanation:
Relations that are helpful here are ...
- vertical angles are congruent
- an exterior angle is equal to the sum of the opposite interior angles
- the sum of angles forming a straight angle is 180°
- the sum of angles in a triangle is 180°
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Using these relations, we can find the unknown measures.
a° = 60° . . . . . these are vertical angles
51° +b° +110° = 180° ⇒ b° = 180° -161° = 19° . . . . straight angle
a° +b° +c° = 180°
c° = 180° -60° -19° = 101° . . . . sum of angles in a triangle
d° = 180° -101° = 79° . . . . . straight angle
e° = c° -51° = 50° . . . . . c° is exterior to the triangle
