Question

please say the answer with explanations ​

Answer 1

$\large \underline{ \underline{ \text{Question:}}}$

• In the Attachment.

$\large \underline{ \underline{ \text{Solution :}}}$

Given that,

• $ABC \text{ is a triangle}.$

• $ML \text{ is parallel to }BC.$

• $\angle ABC = {65}^{ \circ}$

And,

• $\angle BAC = {35}^{ \circ}$

As ML is parallel to BC. And Side AB is reacting as transversal. So we can say that Angle ALM and Angle ABC are corresponding angles.

Hence,

• $\angle ALM = \angle ABC$
• $\angle ALM = {65}^{ \circ} \: \: \: \: \: \: \: ...(1)$

According to Universal laws of triangle, The sum of all angles of triangle is 180°. So we can say that, In ∆ALM the sum of all angles is 180°.

Hence,

$\implies \angle ALM + \angle AML + \angle LAM = {180}^{ \circ}$

By Equation [1],

$\implies {65}^{ \circ} + \angle AML + \angle LAM = {180}^{ \circ}$

As given,

$\implies {65}^{ \circ} + \angle AML + {35}^{ \circ} = {180}^{ \circ}$

$\implies {100}^{ \circ} + \angle AML = {180}^{ \circ}$

$\implies \angle AML = {180}^{ \circ} - {100}^{ \circ}$

$\implies \boxed{ \angle AML = {80}^{ \circ} }$

Therefore,

• The measurement of Angle AML is 80°.

.

$\large \underline{ \underline{ \text{Required Answer:}}}$

.

• The measurement of Angle AML is 80°.

Answer 2

Step-by-step explanation:

Angle aml= 80°

hope it helps❤