Question

please answer these questions.​

Answer 1

Answer:

x= 50°

Step-by-step explanation:

Given : ∠EMG = x

∠LMQ = ∠KLP  (  Corresponding Angle)

∠LMQ = ∠EMG  ( Vertically Opposite Angle)

∠LMQ = x

x= 50°

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Answer 2

$\Large\rm\textrm{Explanation}$

We know that the vertically opposite angles are equal.

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By properties of parallel lines,

$\rm\angle KLP=x$

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By vertically opposite angles,

$\textrm{ \cdots\longrightarrow\boxed{\rm x=50^{\circ}} }$

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This explanation comes from the properties of a pair of the corresponding angles.

Read below for why.

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$\Large\rm\textrm{Extra Explanation}$

Let's prove that the vertically opposite angles are equal.

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We know the corresponding angles are equal.

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In the given question,

$\rm\angle KLP=50^{\circ}$

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By properties of parallel lines,

$\rm\angle KLP=\angle LMQ$

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By $\rm\angle LMQ$ being the vertically opposite line,

$\rm\angle LMQ=x$

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Hence,

$\textrm{ \cdots\longrightarrow\boxed{\rm x=50^{\circ}} }$

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$\Large\textrm{Learn More}$

$\textbf{- The Properties of Parallel Lines}$

Vertically opposite angles are equal.

Corresponding angles are equal.

Alternate exterior angles are equal.

Alternate interior angles are equal.