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2 years ago

Find the measure of

Mathematics

2 answers:

Klio2033 [76]2 years ago

6 0

Answer:

See below ~

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]2 years 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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Hello,

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