Step-by-step explanation:
Solution:
°
Solution:Given: x + y = w + zTo prove: AOB is a line.
We know that if the sum of two adjacent angles is 180°, then the non-common arms of the angles form a line.In Fig. 6.16, if x + y = w + z,
then prove that AOB is a line.From the figure we can see that,(x + y) + (w + z) = 360° (complete angle)It is given that (x + y) = (w + z)
,Hence (x + y) + (w + z) = 360° can be written as (x + y) + (x + y) = 360°2x + 2y = 360°2(x + y) = 360°x + y = 360°/2 = 180°
Since the sum of adjacent angles, x and y with OA and OB as the non-common arms is 180°
we can say that AOB is a line.
[tex]\huge{\color{pink}{\fbox{\color{pink}{\color{pink}{\color{Red}{Answer*ೃ༄}}}}}}[/tex]
Answer:
Given = x+ y = w+z
To prove = AOB is a line or x+ y = 180°
Proof =
A.C.Q.
x+y+w+z = 360° ( angles around a point )
( x+y ) + ( w+ z ) = 360°
x+y + x+ y = 360° ( x+y = w+z )
2( x + y ) = 360 °
x+y = 180°
hence AOB is a line.
Copyright © 2024 EHUB.TIPS team's - All rights reserved.
Answers & Comments
Verified answer
Step-by-step explanation:
Solution:
°
Solution:Given: x + y = w + zTo prove: AOB is a line.
We know that if the sum of two adjacent angles is 180°, then the non-common arms of the angles form a line.In Fig. 6.16, if x + y = w + z,
then prove that AOB is a line.From the figure we can see that,(x + y) + (w + z) = 360° (complete angle)It is given that (x + y) = (w + z)
,Hence (x + y) + (w + z) = 360° can be written as (x + y) + (x + y) = 360°2x + 2y = 360°2(x + y) = 360°x + y = 360°/2 = 180°
Since the sum of adjacent angles, x and y with OA and OB as the non-common arms is 180°
we can say that AOB is a line.
[tex]\huge{\color{pink}{\fbox{\color{pink}{\color{pink}{\color{Red}{Answer*ೃ༄}}}}}}[/tex]
Answer:
Given = x+ y = w+z
To prove = AOB is a line or x+ y = 180°
Proof =
A.C.Q.
x+y+w+z = 360° ( angles around a point )
( x+y ) + ( w+ z ) = 360°
x+y + x+ y = 360° ( x+y = w+z )
2( x + y ) = 360 °
x+y = 180°
hence AOB is a line.