Respuesta :
The measure of angle ∠1 is equal to ∠2 and the measure of angle ∠2 is equal to ∠4. Then the measure of angle ∠4 is 27°.
What is an angle?
Angle is the space between the line or the surface that meets. And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.
Corresponding angle - If two lines are parallel then the third line. The corresponding angles are equal angles.
Vertically opposite angle - When two lines intersect, then their opposite angles are equal.
The measure of angle ∠1 is 27 degrees.
Then the measure of the angle ∠4 will be
We know that ∠1 and ∠2 are equal because they are vertically opposite angles.
∠1 = ∠2 (vertically opposite angle)
We know that ∠2 and ∠4 are equal because they are corresponding angles.
∠2 = ∠4 (Corresponding angle)
Thus, the measure of angle ∠4 is 27°.
More about the angled link is given below.
https://brainly.com/question/15767203