contestada

126
F G
2x
(3x + 4)" ?
(5x +17)
Pesamad High
15. Match each angle with its corresponding measure, given mZ1 = 130° and m27 = 70°.
A. m 2
? 50°
a.
B. m23
b.
? 60°
C. m24
c. ?70°
D. m25
d.
? 110°
E. m26
e.
? 120°

126 F G 2x 3x 4 5x 17 Pesamad High 15 Match each angle with its corresponding measure given mZ1 130 and m27 70 A m 2 50 a B m23 b 60 C m24 c 70 D m25 d 110 E m2 class=

Respuesta :

sqdancefan

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)

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