Angle 3 value is 30° find the all value anglewhich are vertically opp

1.	Angle 3 value is 30° find the all value anglewhich 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» 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) ___ ➝ ∠2 + ∠1 = 180° Reason : Linear pair ➝ 30° + ∠1 = 180° ➝ ∠1 = 180° – 30° ➝ ∠1 = 150° ★ ___ ➝ ∠4 = 150° ★ Reason : Vertically opposite angles are equal. (∠4 = ∠1) ___ ➝ ∠6 = 150° ★ Reason : Alternate interior angles are equal. (∠4 = ∠6) ___ ➝ ∠5 = 30° ★ Reason : Alternate interior angles are equal. (∠5 = ∠3) ___ ➝ ∠7 = 150° Reason : Vertically opposite angles are equal. (∠7 = ∠6) ___ ➝ ∠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.

Angle 3 value is 30° find the all value anglewhich 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»

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)

___

➝ ∠2 + ∠1 = 180°

Reason : Linear pair

➝ 30° + ∠1 = 180°

➝ ∠1 = 180° – 30°

➝ ∠1 = 150° ★

___

➝ ∠4 = 150° ★

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

___

➝ ∠6 = 150° ★

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

___

➝ ∠5 = 30° ★

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

___

➝ ∠7 = 150°

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

___

➝ ∠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.