Question

Answer plsss!
If the measure of angle 2 is 48 degrees, what is the measure of angle 4? Why?

Answer 1

The measure of angle 4 is 48 degrees.

Explanation:

When two angles forming an X

• shape share a common vertex and
• oppose each other

the angle has the same value.

We call this type of angles opposing angles or vertical angles.

Answer 2

Answer:the measure of angle 4 is 48 degrees

Explanation:

The blue horizontal line crosses the red line at a point. Therefore, angle 2 and angle 4 are vertically opposite angles. Vertically opposite angles are equal. Therefore,

If the measure of angle 2 is 48 degrees, then the measure of angle 4 is also 48 degrees.

We can check by looking at the fact that the sum of the angles on a straight line is 180 degrees. It means that

Angle 1 + angle 2 = 180

Angle 1 = 180 - 48 = 132

Also,

Angle 1 + angle 4 = 180

Angle 4 = 180 - 132 = 48