Question

Answer this question!!​

Answer 1

Step-by-step explanation:

▪️Sum of all the angles at a point = 360°

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

▪️But (x + y) = (⇒ + w) [Given]

▪️∴ (x + y) + (x + y) = 360° or,

▪️2(x + y) = 360°

▪️or, (x + y) = 360/2 = 180°

▪️∴ AOB is a straight line.

Hopes it help you✌️✌️

Answer 2

ANSWER ::

GIVEN ::

x + y = w + z

TO PROVE ::

AOB is a line OR x + y = 180°

PROOF ::

x + y + w + z = 360° ( From the figure)

⟹ (x + y) +  (w + z) = 360°

⟹ (x + y) +  (x + y) = 360° ( Since x + y = w + z)

⟹ 2(x + y) = 360°

⟹ (x + y) = 180°

HENCE THE PROOF FOLLOWS