Question

Find the angles x, y ,z in the figure given below.

Answer 1

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Answer 2

$\huge \mathbb{Hello \: Friends}$

$\boxed{ \red Ans = = > }$

$\red{In \: the \: above \: figure}$

$\bf{1.)}$

$\bf{40 {}^{0} + x + 25 {}^{0} = 180 {}^{0} }$
...............[ Angles in linear Pair ]

$\bf{x \: + 65 {}^{0} = 180 {}^{0} }$

$\bf{x = 180 {}^{0} - 65 {}^{0} }$

$\huge \boxed{x = 115 {}^{0} }$

$\bf{2.)}$

$\bf{40 {}^{0} + y = 180 {}^{0} }$
....................[ Angles in linear Pair ]

$\bf{y = 180 {}^{0} - 40 {}^{ \ 0} }$

$\bf{y = 140 {}^{0} }$

$\huge \boxed{y = 140 {}^{0} }$

$\bf{3.)}$

$\bf{y + z = 180 {}^{0} }$
...................[Angles in linear Pair ]

$\bf{140 {}^{0} + z = 180 {}^{0} }$

$\bf{z = 180 {}^{0} - 140 {}^{0} }$

$\huge \boxed{z \: = 40 {}^{0} }$

$\huge\green{Thanks \: \times \times }$