Question

find x,y,and z in the given figure.urgent give the answer fast​

Answer 1

Step-by-step explanation:

84 ⁰ + z = 180⁰( linear pair )

z = 180⁰- 84⁰

z = 96⁰

20⁰ + z + y = 180⁰( angle sum property )

20⁰+ 96⁹+ y = 180⁰

y = 180⁰- 116

y = 66⁰

58⁰ + 84⁰ + x = 180⁰( angle sum property )

x = 180⁰- 92⁰

x = 88⁰

Answer 2

Answer:

• x = 38°
• y = 64°
• z = 96°

★ To Find :-

• The value of x, y and z

Step-by-step explanation:

In the given fig.

• ABC, ABD and ACD are triangles.

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1st Step :--

$\sf \: In \triangle ABD$

$\sf \angle \:A + \angle \:B + \angle \: D = 180 \degree$

( as ABD is a triangle )

$\implies \sf \: x \: + 58 \degree + 84 \degree= 180 \degree$

$\implies \sf \: x \: + 142\degree= 180 \degree$

$\implies \sf \: x \: = 180 \degree - 142\degree$

$\implies { \underline{ \boxed{\pink{\sf \: x \: = 38 \degree}}}}$

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2nd Step :--

• BC is a straight line.

$\therefore \sf \: \angle \: BDC = 180 \degree$

$\rightarrow \sf \: \angle BDA + \angle \: ADC = 180 \degree$

$\implies \: \sf \: 84 \degree + z = 180 \degree$

$\implies \: \sf \: z = 180 \degree - 84 \degree$

$\implies { \underline{ \boxed{\pink{\sf \: z \: = 96 \degree}}}}$

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3rd Step :--

• ADC is a triangle.
• The sum of the three angles of triangle is 180°

$\sf \: \angle \: ADC + \angle DAC + \angle \: ACD = 180 \degree$

$\implies \sf \: 96 \degree \: + 20 \degree + y = 180 \degree$

$\implies \sf \: y = 180 \degree - 116 \degree$

$\implies { \underline{ \boxed{\pink{\sf \: y\: = 64 \degree}}}}$

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Answer is done !