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den301095 [7]
1 year ago
9

Find the measure of

Mathematics
2 answers:
Klio2033 [76]1 year ago
6 0

Answer:

<u>See below ~</u>

Step-by-step explanation:

The total internal measure is 360°.

  • 154° + 60° + 86 + ∠STP + ∠TUP = 360°
  • 2∠STP + 300 = 360°
  • 2∠STP = 60°
  • ∠STP = ∠TUP = 30°

Finding ∠SPQ (clockwise):

  • 2∠STP + 86°
  • 2(30) + 86
  • 146°

Finding ∠SPQ (counterclockwise) :

  • 360° - 146°
  • 214°
Lady_Fox [76]1 year ago
3 0

Answer:

Angles around a point sum to 360°

⇒ ∠SPT + ∠TPU + 86° + 60° + 154° = 360°

⇒ ∠SPT + ∠TPU = 60°

Therefore:

∠SPQ clockwise = ∠SPT + ∠TPU + 86°

                            = 60° + 86°

                            = 146°

∠SPQ anticlockwise = 60° + 154°

                                  = 214°

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