Question

solve please.,.... ......​

Answer 1

Answer:

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Answer 2

Given :

• Two lines AB and CD intersect at a point O such that ∠BOC = 125 °

To Find :

• The values of x , y and z

Solution :

From the given figure ,

∠BOC + z = 180° { $\purple{\sf{Linear\:pair}}$ }

$\longrightarrow\sf{\angle 125^{\circ} + z = 180°}$

$\longrightarrow\sf{z = 180^{\circ} - 125^{\circ}}$

$\longrightarrow\sf{z = 55^{\circ}}$

Measures of vertically opposite angles are equal . From the given figure , ∠BOC and∠y ; ∠x and ∠z are vertically opposite angles.

$\longrightarrow\sf{\angle y = 125^{\circ}}$

$\longrightarrow\sf{\angle x = 55^{\circ}}$

Hence , The values of x , y and z are 55° , 125° and 55°