Question

in the adjoining figure angle 150 degree then what is the measuring angle 3​

Answer 1

Required Solution :

Measure of $\angle$ 3 will be 150°.

______________________________

How ?

• Whenever two lines intersect each other then the vertically opposite angles are equal.
• Here, AB and CD are intersecting each other. Therefore, $\angle$ 1 and $\angle$ 3 & $\angle$ 4 and $\angle$ 2 is equal.
• Thus, $\bf \red {\angle1( {150}^{\circ}) = \angle 3 =( {150}^{\circ}) }$

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More properties:

• Vertically opposite angles are equal.
• Measure of sum of all angles around a point is 360°.
• Pair of each corresponding angles are equal.
• Pair of each alternate interior angles are equal.
• Pair of each alternate exterior angles are equal.

Answer 2

✓Verified Answer

Required Solution :

Measure of \angle∠ 3 will be 150°.

______________________________

How ?

Whenever two lines intersect each other then the vertically opposite angles are equal.

Here, AB and CD are intersecting each other. Therefore, \angle∠ 1 and \angle∠ 3 & \angle∠ 4 and \angle∠ 2 is equal.

Thus, \bf \red {\angle1( {150}^{\circ}) = \angle 3 =( {150}^{\circ}) }∠1(150

∘

)=∠3=(150

∘

)

________________________________

More properties:

Vertically opposite angles are equal.

Measure of sum of all angles around a point is 360°.

Pair of each corresponding angles are equal.

Pair of each alternate interior angles are equal.

Pair of each alternate exterior angles are equal.