johnsonmom200484 johnsonmom200484
  • 21-08-2019
  • Mathematics
contestada

∠C and ​ ∠D ​ are vertical angles with m∠C=−x+26 and m∠D=2x−10 .



What is m∠D ?

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matheaar000
matheaar000 matheaar000
  • 21-08-2019
The measure of angle D is 62
Answer Link
jimrgrant1 jimrgrant1
  • 21-08-2019

Answer:

∠D = 14°

Step-by-step explanation:

Vertical angles are congruent, hence

2x - 10 = - x + 26 ( add x to both sides )

3x - 10 = 26 ( add 10 to both sides )

3x = 36 ( divide both sides by 3 )

x = 12

Hence

∠D = 2x - 10 = (2 × 12) - 10 = 24 - 10 = 14°

Answer Link

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