Question

find the values of x,y,z

Answer 1

Step-by-step explanation:

y=25°

(vertically opposite angles)

z+25=180°(linear pair)

so...z=180-25

z=155°

z=x (vertically opposite angles)

so x=155°

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Answer 2

$\huge \bf {Question}$

Find the value of x, y and z.

Figure in attachment.

$\huge \bf {Answer}$

Given:-

An angle of 25°

To Find:-

Values of x, y and z

Let, the names of sides

To see the name refer to the attachment.

$\green \longrightarrow$∠BOD = ∠AOC = 25° [Vertically opposite angles are equal]

$\bf \fbox \green {∠y=25°}$

$\green \longrightarrow$∠y + ∠x = 180° [Linear pair}

$\green \longrightarrow$25° = ∠x = 180°

$\green \longrightarrow$∠x = 180° - 25°

$\bf \fbox \green {∠x = 155°}$

$\green \longrightarrow$∠y + ∠z = 180° [Linear Pair]

$\green \longrightarrow$25° + ∠z = 180°

$\green \longrightarrow$∠z = 180° - 25°

$\bf \fbox \green {∠z = 155°}$

Verification:-

$\green \longrightarrow$∠x + ∠y + ∠z + ∠BOD = 360°

$\green \longrightarrow$155° + 25° + 155° + 25° = 360°

$\green \longrightarrow$360° = 360°

$\bf \green {L.H.S. = R.H.S.}$

Hence prove✔