Question

Construction of a quadrilateral ABCD in which BC = 8cm, ∠A = 70°, ∠B= 160°, and AB = 5cm and ∠C = 135° is not possible because

Answer 1

Answer:

To construct such triangle is not possible as the sum of interior angles of a triangle is 180°.

And inthis case the sum would come as 230°

Answer 2

Given :  Construction of a quadrilateral ABCD in which BC= 8 cm, ∠A= 70⁰ ,∠B = 160⁰, ∠C =135⁰ and  AB= 5 cm is not possible

To Find : Reason

Solution:

∠A= 70⁰ ,∠B = 160⁰, ∠C =135⁰

∠A + ∠B + ∠C = 70⁰ +  160⁰ + 135⁰ = 365⁰

∠A + ∠B + ∠C > 360⁰

Sum of all angles of a quadrilateral is 360⁰

=> ∠A + ∠B + ∠C + ∠D=  360⁰

=> ∠A + ∠B + ∠C  = 360⁰ - ∠D

=>  ∠A + ∠B + ∠C   <  360⁰

Hence Quadrilateral is not possible because

∠A + ∠B + ∠C > 360⁰

Learn More:

Construct a quadrilateral LMNO, given that LM = 4 cm, MN = 4.5 cm ...

brainly.in/question/13571007

construct a quadrilateral pqrs in which sides PQ equal to 3 cm QR is ...

brainly.in/question/13262239