Question

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$\bf\texttt{{ Question : }}$

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Answer 1

$\: \: \: \: \: \: \: \: \: \: \: \: \: \rm{\green{60\degree}}$

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Given :-

In the above adjoining figure -

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \rm{\pink{AB \: \parallel \: CD}}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \rm{\pink{AB \: \parallel \: EF}}$

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To determine :-

$\: \: \: \: \: \rm{Compute \: \: the \: \: value \: \: of \: \: x \: \: ?}$

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Solution :-

in the above attachment

line AB is parallel to CD and EF .

and

$\: \: \: \: \: \: \: \: \: \: \: \: \: \rm{\angle CEF \: \: = \: \: 150\degree \: \: \: -(1)}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \rm{\angle BCE \: \: = \: \: 30\degree \: \: \: \: \: -(2)}$

we know that -

The sum of two$\: \: \rm{\purple{adjacent \: \: angles}}$ which are on either side of the same line is $\rm{\purple{180\degree}}$.

So -

$\: \: \: \rm{\angle CEF \: + \: \angle ECD \: \: = \: \: 180\degree}$

from eqⁿ(1) -

$\: \: \: \: \: \: \: \rm{150\degree \: + \: \angle ECD \: \: = \: \: 180\degree}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \rm{\angle ECD \: \: = \: \: 180\degree - 150\degree}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \rm{\angle ECD \: \: = \: \: 30\degree \: \: -(3)}$

now -

we also know that -

$\: \: \: \: \: \rm{\pink{alternate \: \: angles \: \: are \: \: always \: \: equal.}}$

so -

from observing the parallel lines (AB and CD) -

$\: \: \: \: \: \: \: \: \: \: \rm{\angle ABC \: \: = \: \: \angle BCD \: \: \: \: -(4)}$

since ,

$\: \: \: \: \: \: \: \: \: \: \rm{\angle BCD \: \: = \: \: \angle BCE + \angle ECD}$

from eqⁿ(2) and eqⁿ(3) -

$\: \: \: \: \: \: \: \: \: \: \rm{\angle BCD \: \: = \: \: 30\degree + 30\degree}$

$\: \: \: \: \: \: \: \: \: \: \rm{\angle BCD \: \: = \: \: \: \: 60\degree \: \: \: \: -(5)}$

Now -

from eqⁿ(4) and eqⁿ(5) -

$\: \: \: \: \: \: \: \: \: \: \rm{\angle ABC \: \: = \: \: 60\degree}$

So -

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \rm{\boxed{\purple{\: x \: \: = \: \: 60\degree \: }}}$

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Answer 2

Answer:

hello listen aagar insta , pin use karte hoge toh mere question me id de dena

Step-by-step explanation:

A partner is an individual who jointly with other people (partners) agrees to set up a business firm and provide goods and services through it. Partners of a partnership firm can be of different types, such as an active partner, secret partner, minor partner, nominal partner, or sleeping partner.