A and B are vertically opposite angles. If the measure of A is 60o, what is the value of B?a)30ob)40oc)120od)600Correct answer is option 'D'. Can you explain this answer?

Question

Answer

The angel opposite each other when two line cross. they are always equal is called vertically opposite angle.

A is 60 then B is also 60 degree.

Answer

D is correct.

Answer

A=60
b is also equal to 60 because vertically opposite angles are always equal

Answer

ATQ
angle A=angle b (In a Quadrtiletral opposite angles are equal)
if Angel a=60 then
angle b =60 degree
hence,angle b is 60 degree

Answer

Solution:
Vertically opposite angles are formed when two lines intersect. In this case, let's assume that lines AB and CD intersect at point E. The angles A and B are formed on one side of the intersection, while the angles C and D are formed on the other side.

Definition of Vertically Opposite Angles:
Vertically opposite angles are a pair of angles that are opposite each other and formed by the intersection of two lines. They always have equal measures.

Given:
Measure of angle A = 60°

Explanation:
Since angles A and B are vertically opposite angles, they have equal measures. Therefore, the measure of angle B will also be 60°.

Verification:
To verify our answer, we can use the property of vertically opposite angles. According to this property, when two lines intersect, the vertically opposite angles are equal.

In this case, we can draw a line segment AC to form a triangle ACE. Since angle A = 60°, angle ACE will also be 60° because they are corresponding angles.

Similarly, we can draw a line segment BD to form a triangle BDE. Since angle B = 60°, angle BDE will also be 60° because they are corresponding angles.

Now, we can observe that angle ACE and angle BDE are vertically opposite angles, and they both have the same measure of 60°.

Conclusion:
The value of angle B is 60°. Therefore, the correct answer is option 'D' (60°).

Answer

Opposite verticle angles are always equal
so, angle A = angle B

60=60

Answer

60

Answer

The angel opposite each other when two line cross. they are always equal is called vertically opposite angle.

A is 60 then B is also 60 degree.

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