Question

can you people give me the answer fast please please please please please please​

Answer 1

Answer :

1. 2 = 150° , 3 = 30°

2. vertically opposite angles = 3 and 1

Explanation :

1. We have,

1 = 30°

✎ Angle 1 and angle 2 form a linear pair,

⇛1 + 2 = 180°

⇛30° + 2 = 180°

⇛2 = 180 - 30

⇛2 = 150°

✎ Now we have,

1 = 30° , 2 = 150°

so, ⇛3 = ( 2 + 1 ) - 2

⇛3 = ( 150° + 30° ) - 150°

⇛3 = 180° - 150°

⇛3 = 30°

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2. We have,

1 = 30° , 2 = 150° and 3 = 30°

✎ Angle 3 and angle 1 form a pair of vertically opposite angles.

so, ⇛3 = 1

⇛1 = 30° { given }

⇛so, 3 = 30°

♥ So, It's Done ♥ !!

Answer 2

Answer:

150°

Step-by-step explanation:

$angle \: 1 = angle \: 3 = {30}^{o}$

(Because they are vertically opposite angles and thus would be equal)

$angle \: 2 = angle \: 4 = x$

(Because they are vertically opposite angles and thus would be equal)

$angle \: 1 + angle \: 2 + angle \: 3+angle \: 4= {360}^{o}$

Because the angle present on a point is equal to 360°.

$30 + x + 30 + x = 360$

$60 + 2x = 360$

$2x = 300$

$x = 150$

Thus, angle 2 = angle 3 = 150°

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