Question

If x+y = w+z then prove that a AOB is
straight angle.​

Answer 1

Answer:

Given,x+y=w+z

to prove,AOB is a line or

x+y=180°(linear pair)

proof:A.T.Q

x+y+w+z=360°

(x+y)+(w+z)=360°

(x+y)+(x+y)=360°

(given x+y=w+z)

2(x+y) =360°

x+y=360°/2

x+y=180°

Hence,x+y makes a linear pair

therefore,AOB is a straight line

Step-by-step explanation:

mark me as a brainliest please

Answer 2

Question :-

In figure, if x + y = w + z, then prove that AOB is a line.

Answer :-

Sum of all the angles at a point = 360°

∴ x + y + z + w = 360° or, (x + y) + (z + w) = 360°

But (x + y) = (z + w) [Given]

∴ (x + y) + (x + y) = 360° or,

2(x + y) = 360°

or, (x + y) = 360° /2 = 180°

∴ AOB is a straight line.

Plz mrk as brainliest ❤