Answer:
- 30°
- 60°
- 150°
Step-by-step explanation:
Where a transversal crosses parallel lines, corresponding angles are congruent. Angles that form a linear pair are supplementary — they total 180°. Angles that result from dividing a right angle are complementary — they total 90°.
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1.
Angles 1 and x are corresponding angles, so are congruent:
∠1 = x = 30°
2.
Angles 1 and 2 together make a right angle, so are complementary:
∠2 = 90° -∠1 = 60°
3.
Angles 1 and 3 together make a straight angle. They are a "linear pair," so are supplementary:
∠3 = 180° -∠1 = 150°
