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Answer 1

Step-by-step explanation:

13)

Given,

$\sf\Delta ABC\cong\Delta LMN$

$\bf By\: CPCT\begin{cases}\sf \angle A=\angle L\\\sf \angle B=\angle M\\\sf\angle C=\angle N\end{cases}$

Now,

We know that sum of all angles in a triangle is 180⁰

$\sf \angle A+\angle B+\angle C=180^{\circ}$

$\sf \implies 40+60+\angle C=180$

$\sf \implies 100+\angle C=180$

$\sf \implies \angle C =180-100$

$\sf \implies \angle C=80^{\circ}$

Therefore

$\sf \angle N=\angle C=80^{\circ}$

14)

Given,

SP = ₹8400

P% = 20%

We know that

${ \boxed{ \pmb{ \sf CP = \frac{100}{(100 +P\%) } \times \: SP }}}$

$\sf \implies CP=\dfrac{100}{100+20}\times8400$

$\sf \implies CP=\dfrac{100}{120}\times 8400$

$\sf \implies CP=\dfrac{5}{6}\times 8400$

$\sf \implies CP=5\times 1400$

$\sf \implies CP = 7000$