Akash was given lengths of two sides and the measure of an angle which is not included between the two sides. But still he was able to draw the triangle. So what should be the angle that was given? (in degrees)
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Solution

If he was able to draw a triangle with two sides and an angle which is not included, then the triangle should be a right angled triangle.

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Statement 1: It is possible to construct a unique triangle when the measurements of two sides and non-included angle are given.

Statement 2: It is possible to construct a triangle when the measurements of two sides and included angle are given.

Choose the correct option.

Statement $1$ : It is possible to construct a triangle when measurements of two sides and one angle are given.

Statement $2$ : It is possible to construct a triangle when measurements of two sides and included angle are given.

Choose the correct option.

A student was given the following details while constructing a triangle ABC:

The length of the base of the triangle BC, one of the base angles say $∠$ B and the sum of the other two sides of the triangle (AB+AC)

He went about the construction of this triangle by first drawing the base of the triangle BC. He then drew an angle at the point B equal to the given angle on a ray that he drew. After completing these steps, he got stuck and doesn’t know what to do next. Which of the following steps will he take up next?

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Akash was given lengths of two sides and the measure of an angle which is not included between the two sides. But still he was able to draw the triangle. So what should be the angle that was given? (in degrees) __

If he was able to draw a triangle with two sides and an angle which is not included, then the triangle should be a right angled triangle.

Akash was given lengths of two sides and the measure of an angle which is not included between the two sides. But still he was able to draw the triangle. So what should be the angle that was given? (in degrees)
__