santiagojaime
santiagojaime santiagojaime
  • 02-03-2022
  • Mathematics
contestada

Based on the diagram below, what is the interior measure of ∠Y ?

Based on the diagram below what is the interior measure of Y class=

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semsee45
semsee45 semsee45
  • 02-03-2022

Answer:

∠Y = 104°

Step-by-step explanation:

vertical angles are equal ⇒ ∠DAN = ∠SAY = 48°

Sum of interior angles of a triangle = 180°

⇒ ∠SYA + 56 + 48 = 180

⇒ ∠SYA = 76°

Angles on a straight line add up to 180°

⇒ ∠Y + ∠SYA = 180°

⇒ ∠Y + 76 = 180

⇒ ∠Y = 104°

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