Question

In figure , find the values of. x, y and ,z​

Answer 1

Answer :

Since $l_2$ is a straight line ,

x + 25° = 180° ( linear pair)

x = 180° - 25°

• x = 155°

Since $l_1$ and $l_2$ are two straight lines , intersecting each other ,

• y = 25° [ vertically opposite angles]

• z = x = 155° [vertically opposite angles]

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Some Extra Information :

• When two or more angles are made on a straight line , the sum of all angles is 180°.

• When two straight lines intersect each other , then the angles formed vertically opposite to each other are equal .

Answer 2

$\sf since \: l_2 \: is \: a \: straight \: line$

$\sf \fbox{x + 25 \degree = 180 \degree}$

$\sf \to x + 25 \degree = 180 \degree(linear \: pair)$

$\sf \to x = 180 - 25$

$\sf \to x = 155 \degree$

Since l_1l1 and l_2l2 are two straight lines , intersecting each other ,

$\sf y = 25° [ vertically \: opposite \: angles]$

$\sf{z = x = 155 \degree}$

$\sf \underline{so \: that \ \: : }$

$\sf z = 155 \degree[ vertically \: opposite \: angles]$

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Therefore the value of:-

• X = 155°

• Y = 25°

• Z = 155°

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