Question

Which of the following can be four interior angles of a quadrilateral? *

1 point

A) 140°, 40°, 20°, 160°

B) 270°, 150°, 30°, 20°

C) 40°, 70°, 90°, 60°

D) 110°, 40°, 30°, 180°

​

Answer 1

Answer:

a,

Step-by-step explanation:

sum of interior angles of a quadrilateral=360 degrees

for D also sum of angels=360

but in a quadrilateral any angle never equal to 180 degrees

Answer 2

Answer:

The correct answer to the given problem will option a) $140$°,$40$°,$20$°,$160$°.

Step-by-step explanation:

We know that the sum of all four interior angles of a quadrilateral comes out to be $360$° (Angle sum property of a quadrilateral). Also, No single angle can be of the measure $180$° as it will mean that the two sides between which the angle is present is nothing but a single straight line. Thus, option d) is eliminated.

Now, taking the sum of angles in each of the given options, we get:

a) $140$°$+40$°$+20$°$+160$°$=360$°

b) $270$°$+150$°$+30$°$+20$°$=470$°

c) $40$°$+70$°$+90$°$+60$°$=260$°

Thus, option a) $140$°,$40$°,$20$°,$160$° is the only correct answer.