Answer:
- a = 90°
- b = 60°
- c = 30°
- d = 150°
- e = 30°
Explanation:
You want the measures of the named angles in the given figure, given c=30°.
Angle relations
A right angle is 90°.
A linear pair totals 180°.
Vertical angles are congruent.
Angles that make up a right angle total 90°.
Application
Angle 'a' is marked as a right angle, so a = 90°.
Angle b is complementary to angle c, so is ...
b + c = 90°
b = 90° -c = 90° -30° = 60°
Angle c is given as 30°.
Angle d is part of a linear pair with angle c, so is ...
d = 180° -30° = 150°
Angle e is a vertical angle with respect to angle c, so is congruent to it.
e = 30°