aneziclanton95 aneziclanton95
  • 24-08-2019
  • Mathematics
contestada

Consider the figure and find the value of 2k and k + 65

Consider the figure and find the value of 2k and k 65 class=

Respuesta :

jimrgrant1 jimrgrant1
  • 24-08-2019

Answer:

46 and 88

Step-by-step explanation:

∠PYZ = ∠TYX = 2k ( congruent angles )

The 3 angles form a straight angle and sum to 180°, that is

2k + 2k + k + 65 = 180, so

5k + 65 = 180 ( subtract 65 from both sides )

5k = 115 ( divide both sides by 5 )

k = 23

Hence

2k = 2 × 23 = 46 and k + 65 = 23 + 65 = 88

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