Question

please give answer in step by step explanation​

Answer 1

Answer:

X+y+z+u=360

X+y+z=240

u=360-240

u=120

X+u=180

X=180-120

X=60

X+z=180

z=180-60

z=120

z+y=180

y=180-120

y=60

Answer 2

➸ Given:-

• AB and CD intersect at O.
• x+y+z = 240°

☣ To Find:-

• Value of Angles x,y,z & u.

☢ Solution:-

→ x = y [Vertically Opposite Angles]

$→\;{\sf{x+y+z = 240°}}$

$→\;{\sf{x+x+z = 240°}}$

$→\;{\sf{2x+z = 240°}}$

$→\;{\sf{z = 240°-2x}}$

→ z = u [Vertically Opposite Angles]

$→\;{\sf{x+y+z+u = 360°}}$ [Sum of Angles at a point is 360°]

$→\;{\sf{x+x+240°-2x+240°-2x = 360°}}$

$→\;{\sf{2x+480°-4x = 360°}}$

$→\;{\sf{-2x = 360°-480°}}$

$→\;{\sf{x = \cancel{\frac{-120°}{-2}}}}$

$→\;{\sf{x = 60°}}$

➝ x = y = 60°

$→\;{\sf{z = 240°-2(60°)}}$

$→\;{\sf{z = 240°-120°}}$

$→\;{\sf{z = 120°}}$

➝ z = u = 120°

• x = 60°
• z = 120°
• y = 60°
• u = 120°

$\boxed{\tt{@MrMonarque}}$

Hope It Helps You ✌️