in a triangle ABC the angel A is 30° and B is 90° then find the remain angle
Answers
Answered by
0
Answer:
remaining angle is 60 degree.
Step-by-step explanation:
by angle sum property remaining angle is equal to 180 degree - 30 degree + 90 degree
Answered by
1
here is ur ans❤
We have,
∠A = 30°
∠C = 90°
AB = 40 Units.
∠A + ∠B + ∠C = 180°
30° + ∠B + 90° = 180°
∠B = 180° - 120°
∠B = 60°
Cos A = adjacent / hypotenuse ⇒ AC/AB
Cos 30° = AC/40
√3/2 = AC/40
AC = √3/2 × 40
AC = 20√3 Units.
And,
Sin A = Opposite / Hypotenuse ⇒ BC/AB
Sin 30° = BC/40
1/2 = BC/40
BC = 40×1/2
BC = 20 Units.
Hence, AC = 20√3 Units,
BC = 20 Units
And
∠B = 60°.
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hope it helps you ❤
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