Question

find the value of angle X Y Z in the given figure. ​

Answer 1

Y = 55° (Vertically opposite angles)

X+Y = 180 (linear pair)

X = 125°

Z = X = 125 (vertically opposite angles)

Answer 2

Answer:

∠X = 125°

∠Y = 55°

∠Z = 125°

Step-by-step explanation:

• Two straight lines AB and CD intersects each other. Suppose the point of intersection = O.
• We can write, ∠AOD = 55°
• We have to find ∠AOC = X =?

                                   ∠BOC = Y = ?

                                   ∠BOD = Z = ?

• As CD is a straight line, ∠COD = 180°

                                               ∠AOD + ∠AOC = 180°

                                               ∠AOC = 180° - ∠AOD = 180° - 55° = 125°

                                              ∴ ∠X = 125°

• As ∠AOD and ∠BOC are opposite angles, then ∠BOC = ∠AOD =55°

                                                                                         ∴ ∠Y = 55°

• ∠BOD and ∠AOC are opposite angles, then ∠BOD = ∠AOC = 125°

                                                                                          ∴ ∠Z = 125°