Question

please help please..............​

Answer 1

Answer:

1. Angle PNL = 126°(by alternate angel)

2. Angle NLM = 126° - 90°

= 36°

3 Angle MNL = 180 - ( (180°- 126° ) +36)

= 189 - 54+36

= 180-87

= 93

by angle sum property

Explanation:

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Answer 2

Given:

PQ || RS , LM $\perp$ RS ; $\angle NLS$ = 126°.

To find:

$\rm{\angle PNL , \:\angle NLM ,\: \angle MNL}$

Calculation:

PQ || RS and NL is the transversal :

$\therefore \angle PNL =\angle NLS$

$\boxed{=>\angle PNL ={126}^{\circ}}$

Again,

$\therefore\angle NLM = \angle NLS - \angle MLS$

$=>\angle NLM = 126 - 90$

$\boxed{=>\angle NLM = {36}^{\circ}}$

Again, in ∆ MNL

$\therefore\angle MNL = {180}^{\circ}-(\angle LMN+\angle NLM)$

$=>\angle MNL = {180}^{\circ}-({90}^{\circ}+{36}^{\circ})$

$=>\angle MNL = {180}^{\circ}-({126}^{\circ})$

$\boxed{=>\angle MNL = {54}^{\circ}}$

Hope It Helps.