hayabi2582 hayabi2582
  • 08-06-2021
  • Mathematics
contestada

2
D
3
In the diagram above, Z1 = 2x+20 and
Z2 = 3x+10. Find the measure of 21.
Z1 = [ ? 10

2 D 3 In the diagram above Z1 2x20 and Z2 3x10 Find the measure of 21 Z1 10 class=

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sqdancefan
sqdancefan sqdancefan
  • 09-06-2021

9514 1404 393

Answer:

 ∠1 = 40°

Step-by-step explanation:

Angles 1 and 2 are "alternate interior" angles, so are congruent.

  ∠1 = ∠2

  2x +20 = 3x +10

  10 = x . . . . . . . . . . .  subtract 2x+10 from both sides

The measure of ∠1 is ...

  ∠1 = 2x +10 = 2(10) +20 . . . . . degrees

  ∠1 = 40°

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