Question

in the Adjoining figure, L || M find the measures of Angles x , y, u , v , z ​

Answer 1

Answer: x=95,y=95,u=85,v=95,z=85

Step by step explanation:

Please find the attached image for the explanation

Answer 2

$\bf \huge {\underline {\underline \red{SoLuTiOn}}}$

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Answer

• Value of x = 95°
• Value of y = 95°
• Value of z = 85°
• Value of v = 95°
• Value of u = 85°

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Given

• l || m
• ∠1 = 85°

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To Calculate

• Value of x, y, z, v and u

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Solution

∠1 = z = 85° [ Vertically Opposite Angles ]

$</p><p> \pink {\boxed{ z = 85°}}$

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➞ ∠1 + v = 180° [ Linear Pair ]

➞ 85° + v = 180°

➞ v = 180° - 85°

➞v = 95°

$\purple {\boxed{v= 95°}}$

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z = u = 85° [ Alternate Interior Angles ]

$\red {\boxed{ u = 85°}}$

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➞ u + y = 180° [ Linear Pair ]

➞ 85° + y = 180°

➞ y = 180° - 85°

➞ y = 95°

$\green {\boxed{ y = 95°}}$

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y = x = 95° [ Vertically Opposite Angles ]

$\orange {\boxed{ z = 85°}}$

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Therefore, value of x, y, z, v and u is 95°, 95°, 85°, 95°, 85° respectively.