Math, asked by rn4969592, 9 months ago

in a triangle ABC the angel A is 30° and B is 90° then find the remain angle​

Answers

Answered by renupadmesh123
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 Anonymous
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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