sumitrar363
sumitrar363 sumitrar363
  • 06-03-2022
  • Mathematics
contestada

calculate the size of unknown angles​

calculate the size of unknown angles class=

Respuesta :

jimrgrant1 jimrgrant1
  • 06-03-2022

Answer:

see explanation

Step-by-step explanation:

In a parallelogram the opposite angles are congruent , then

2p - 50 = p + 10 ( subtract p from both sides )

p - 50 = 10 ( add 50 to both sides )

p = 60

Then

∠ E = ∠ I = p + 10 = 60 + 10 = 70°

-----------------------------------------------------

consecutive angles sum to 180° , so

∠ L = ∠ K = 180° - 70° = 110°

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