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1 answer:
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Answer:
AB = 27.2
BC = 33.5
AC = 50.4
∠A = 38°
∠ABC = 112°
Step-by-step explanation:
<u>Trigonometric ratios</u>
where:
is the angle
- O is the side opposite the angle
- A is the side adjacent the angle
- H is the hypotenuse (the side opposite the right angle)
The interior angles of a triangle sum to 180°
⇒ ∠A + 52° + 90° = 180°
⇒ ∠A = 180° - 90° - 52°
⇒ ∠A = 38°
⇒ ∠ABC + 38° + 30° = 180°
⇒ ∠ABC = 180° - 38° - 30°
⇒ ∠ABC = 112°
**I have checked the measures using a graphing programme - see attached**
