Question

126

Answer 1

9514 1404 393

Answer:

  a. A

  b. B

  c. D

  d. E

  e. C

Step-by-step explanation:

Linear pairs are supplementary, so ...

  ∠2 = 180° -∠1 = 180° -130° = 50° . . . (a)

  ∠6 = 180° -∠7 = 180° -70° = 110° . . . (d)

Vertical angles are congruent, so ...

  ∠5 = ∠7 = 70° . . . (c)

Exterior angles are equal to the sum of the opposite interior angles, so ...

  ∠4 = ∠2 +∠5 = 50° +70° = 120° . . . (e)

__

  ∠1 = ∠3 +∠5

  130° = ∠3 +70°

  ∠3 = 130° -70° = 60° . . . (b)