2 answers:
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) :
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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