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Help me solve this please!! thanks

Help me solve this please!! thanks-example-1

1 Answer

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Answer:

  1. 30°
  2. 60°
  3. 150°

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°.

__

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°

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