If I construct a quadrilateral with 3 sides and 2 included angles being 75- and 105- respectively- What is the type of quadrilateral I am constructing-

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Construction of Quadrilateral (3 Sides and 2 Angles)

If I construc...

Question

If I construct a quadrilateral with 3 sides and 2 included angles being $75^{\circ}$ and $105^{\circ}$ respectively. What is the type of quadrilateral I am constructing?

Parallelogram

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Trapezium

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Square

No worries! We‘ve got your back. Try BYJU‘S free classes today!

None of these

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B
Trapezium

The 2 given angles are supplementary. Hence, the quadrilateral is a trapezium as in a trapezium, one pair of opposite sides are parallel and form supplementary angles.

Suggest Corrections

Similar questions

If I construct a quadrilateral with 3 sides and 2 included angles being $75^{\circ}$ and $105^{\circ}$ respectively. What is the type of quadrilateral I am constructing?

State true or false.

I can construct a quadrilateral with 3 sides and 2 included angles measuring $75^{\circ}$ and $105^{\circ}$ . The quadrilateral is a trapezium.

What is the last step in constructing a quadrilateral with 3 sides and 2 included angles given?

Construct a quadrilateral MIST where MI = 3.5 cm, IS = 6.5 cm, Angle M = $75^{\circ}$ , Angle I = $105^{\circ}$ and Angle S = $120^{\circ}$ .

Q. Construction of a unique quadrilateral is possible if we have the measurement of 3 sides and ___ included angle(s).

Join BYJU'S Learning Program

If I construct a quadrilateral with 3 sides and 2 included angles being 75∘ and 105∘ respectively. What is the type of quadrilateral I am constructing?

The correct option is B Trapezium The 2 given angles are supplementary. Hence, the quadrilateral is a trapezium as in a trapezium, one pair of opposite sides are parallel and form supplementary angles.

If I construct a quadrilateral with 3 sides and 2 included angles being $75^{\circ}$ and $105^{\circ}$ respectively. What is the type of quadrilateral I am constructing?

The correct option is B
Trapezium

The 2 given angles are supplementary. Hence, the quadrilateral is a trapezium as in a trapezium, one pair of opposite sides are parallel and form supplementary angles.