Question

Find the value of X,y,z​

Answer 1

Step-by-step explanation:

Given -

Figure

To Find -

Value of x, y, z

As we know that :-

• The sum of the measures of adjacent angles that form a straight line is 180°

Now,

∠ACE + ∠ACD = 180°

» 110° + ∠ACD = 180°

• » ∠ACD = 70°

And

• ∠ACD = ∠CAB = z° = 70° (Alternate interior angles)

And

∠OAD + y° + z° = 180°

» 60° + y° + 70° = 180°

» y° = 180° - 130°

• » y° = 50°

And

As we know that :-

• Sum of interior angles of triangle is 180°

» y° + x° + ∠ACD = 180°

» 50° + x° + 70° = 180°

» x° = 180° - 120°

• » x° = 60°

Hence,

The value of x° = 60°, y° = 50°, z° = 70°

Note :-

Figure in the attachment (NOT TO MEASURE)

Answer 2

$\huge \mathfrak{Answer:-}$

$\large\underline\mathrm{The \: value \: of \: x \: = \: 60°, \: y \: = \: 50°, z \: = \: 70°}$

$\large\underline\mathrm{Given:-}$

• figure.

$\large\underline\mathrm{To \: find}$

Value of x, y, z

$\large\underline\mathrm{Solution}$

The sum of the measures of adjacent angles that form straight line is 180°.

$\implies$ ACE + ACD = 180°

$\implies$ 110° + ACD = 180°

$\implies$ ACD = 70°

$\large\underline\mathrm{And}$

• ACD = CAB = z° = 70°

$\large\underline\mathrm{Now,}$

$\implies$ OAD + y + 70° = 180°

$\implies$ 60° + y + 70° = 180°

$\implies$ y = 180° - 130°

$\implies$ y = 50°

$\large\underline\mathrm{And}$

$\large\underline\mathrm{The \: interior \: angle \: of \: triangle \: is \: 180°.}$

$\implies$ y + x + ACD = 180°

$\implies$ 50° + x + 70 = 180°

$\implies$ x = 180° - 120°

$\implies$ x = 60°

$\large\underline\mathrm{hence, }$

$\large\underline\mathrm{The \: value \: of \: x \: = \: 60°, \: y \: = \: 50°, z \: = \: 70°}$

$\large\underline\mathrm{Hope \: it \: helps \: you \: plz \: mark \: me \: brainlist}$