Question

please solve this question

(I will mark as the brainliest if you solve this)​

Answer 1

Answer:

SincelinenandmintersecteachotheratpointO

∠MON=25(given)

∠MON=∠y(verticallyoppositeangles)

∠y=25

Since∠yand∠zformlinearpairofangles

∠y+∠z=180(linearpairofanglesaddtoform180

⟹∠z=180−∠y=180−25=155

Also∠z=∠x=155(verticallyoppositeangles)

Hence∠x=155,∠y=25and∠z=155

Answer 2

Answer:

x=45° , y=80° , z=55°

Step-by-step explanation:

in the given figure x = 45° ( alternate angles)

similarly z= 55°( alternate angles)

but x+y+z=180° ( angles on the one side of the straight line)

45°+y+55°=180°

45°+55°+y=180°

100°+y=180°

y=180°-100°

y=80°

hence, x=45° , y=80° , z = 55°