# Basic Geometry : How to find an angle of a line

## Example Questions

### Example Question #21 : How To Find An Angle Of A Line

Lines A and B are parallel. Find the measurement of .

The measurement of  cannot be determined.

Explanation:

When parallel lines are cut by a transversal, corresponding angles are congruent. The given angle and  are corresponding angles.

must also have the same mesaurement as the given angle.

### Example Question #22 : How To Find An Angle Of A Line

If lines A and B are parallel, what is the measurement of ?

Explanation:

and the given angle are supplementary, meaning that their angle measurements add up to .

Subtracting 78 from each side to find the measurement of angle two.

### Example Question #1571 : Basic Geometry

If lines A and B are parallel, find the measurement for .

Explanation:

and the given angle are supplementary, meaning that their angle measurements add up to .

Subtract 78 from both sides to find the measurement of angle 3.

### Example Question #21 : How To Find An Angle Of A Line

If lines A and B are parallel, what is the measurement for ?

Explanation:

When parallel lines are cut by a transversal, vertical angles are congruent.

The given angle and  are vertical angles.

must also have the same mesaurement as the given angle.

### Example Question #1573 : Basic Geometry

If lines A and B are parallel, what is the measurement of angle 5?

Explanation:

Notice that  and  are supplementary, meaning their angle measurements add up to .

Now, notice that  and the given angle are corresponding angles, meaning that their measurements are the same.

Thus,

### Example Question #1574 : Basic Geometry

If lines D and E are parallel, what is the measure of ?

Explanation:

The given angle and  are supplementary, meaning their angle measurements add up to .

Subtract 127 from both sides to find the measurement of angle seven.

### Example Question #1575 : Basic Geometry

If lines D and E are parallel, what is the measure of ?

Explanation:

The given angle and  are interior consecutive angles, meaning they add up to .

Subtract 127 from both sides to find the measurement of angle eight.

### Example Question #1576 : Basic Geometry

If lines D and E are parallel, what is the measure of ?

Explanation:

The given angle and  are corresponding angles. Corresponding angles share the same value.

must then be equal to the given value.

Therefore,

### Example Question #1577 : Basic Geometry

If lines D and E are parallel, what is the measure of ?

The measure of  cannot be determined.

Explanation:

The given angle and  are vertical angles. Vertical angles are congruent.

must have the same measure as the given angle.

Therefore,

### Example Question #1578 : Basic Geometry

If lines D and E are parallel, what is the measure of ?