Tell whether the angles are adjacent or vertical. then find the value of x.

(only 4-6)

Alright, lets get started.

If two angles have common side and they shares common vertex, they are called adjacent angles.

When two lines crosses each other, the opposite angles are called vertical angles as they share same vertex.

Question 4:

Two angles shown in diagram are adjacent as they are on common side.

Both the angles are on a straight line, hence

Subtracting 109 from both sides

° : Answer

Question 5:

Both angles shown in diagram are opposite to each other, hence vertical angles.

As they are opposite to each other, they both are equal.

Subtracting x from both sides

Subtracting 1 from both sides

° : Answer

Question 6:

Both angles are having a common side means they are adjacent angles.

As they are on straight line, both angles will add up to 180 °.

Subtracting 96 from both sides

Dividing from 6 in both sides

° : Answer

Hope it will help :)

The value of x for 4th, 5th, and 6th question is 71, 41, and 14 degrees, respectively.

Adjacent angles are the angles which have one common ray. And opposite/vertical angles are made by two intersecting lines on the opposite sides.

4. The two angles are adjacent because they have one common ray.

The value of x can be calculated as,

The value of x is 71 degrees.

5. The two given angles are vertical or opposite.

The value of x can be calculated as,

The value of x is 41 degrees.

6. The two angles are adjacent because they have one common ray.

The value of x can be calculated as,

The value of x is 14 degrees.

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-50/3 is the final answer! : )