Question

angle 3 value is 30° find the all value angle
which are vertically opposite angle
which are alternative exterior angle
which are alternative interior angle
which are crossponding angle

who one give the right answer of my questions I will make him brainlist ​

Answer 1

Step-by-step explanation:

As per the provided information in the given question, we have :

• Measure of ∠3 = 30°

We are asked to calculate the measure of all the angles.

➝ ∠2 = 30° ★

Reason : Vertically opposite angles are equal. (∠2 = ∠3)

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➝ ∠2 + ∠1 = 180°

Reason : Linear pair

➝ 30° + ∠1 = 180°

➝ ∠1 = 180° – 30°

➝ ∠1 = 150° ★

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➝ ∠4 = 150° ★

Reason : Vertically opposite angles are equal. (∠4 = ∠1)

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➝ ∠6 = 150° ★

Reason : Alternate interior angles are equal. (∠4 = ∠6)

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➝ ∠5 = 30° ★

Reason : Alternate interior angles are equal. (∠5 = ∠3)

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➝ ∠7 = 150°

Reason : Vertically opposite angles are equal. (∠7 = ∠6)

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➝ ∠8 = 30°

Reason : Vertically opposite angles are equal. (∠8 = ∠5)

━━━━━━━━━━━━━━━━━━━━

Which are vertically opposite angles?

$\longmapsto$ ∠1 and ∠4 ; ∠2 and ∠3 ; ∠5 and ∠8 ; ∠6 and ∠7.

Which are alternative exterior angles?

$\longmapsto$ ∠2 and ∠8 ; ∠1 and ∠7.

Which are alternative interior angles?

$\longmapsto$ ∠4 and ∠6 ; ∠5 and ∠3.

Which are corresponding angles?

$\longmapsto$ ∠1 and ∠6 ; ∠2 and ∠5 ; ∠3 and ∠8 ; ∠4 and ∠7.