Given two angles - A - x - - B - y - and AB - A - B -90- how many triangles can be constructed-A- OneB- TwoC- ThreeD- None of these

The correct option is A One Draw AB, at point A draw a ray making angle x^∘ with AB, and at point B draw a ray making y^∘ with BA, such that the two rays inter ...

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Standard X

Mathematics

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Given two ang...

Question

Given two angles $∠ A = x^{\circ}, ∠ B = y^{\circ} a n d A B; (A + B < 90^{\circ})$ , how many triangles can be constructed?

One

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Two

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Three

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None of these

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Solution

The correct option is A
One

Draw AB, at point A draw a ray making angle $x^{\circ}$ with AB, and at point B draw a ray making $y^{\circ}$ with BA, such that the two rays intersect at a point forming a triangle. Therefore only one triangle can be formed with the given data.

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Given two angles ∠A=x∘,∠B=y∘ and AB;(A+B<90∘), how many triangles can be constructed?

The correct option is A One Draw AB, at point A draw a ray making angle x∘ with AB, and at point B draw a ray making y∘ with BA, such that the two rays intersect at a point forming a triangle. Therefore only one triangle can be formed with the given data.

Given two angles $∠ A = x^{\circ}, ∠ B = y^{\circ} a n d A B; (A + B < 90^{\circ})$ , how many triangles can be constructed?

The correct option is A
One

Draw AB, at point A draw a ray making angle $x^{\circ}$ with AB, and at point B draw a ray making $y^{\circ}$ with BA, such that the two rays intersect at a point forming a triangle. Therefore only one triangle can be formed with the given data.