Answer:
You just subtract 126 degrees from 180 degrees = 34 degrees for all angles
The measures of the angles ∠2,∠4,∠6, and ∠8 are 54°, 54°, 54°, and 54° respectively or all the angles are the same.
It is given that in the figure the line p and line q are parallel to each other.
It is required to find the measures of all angles.
It is defined as the angles when two lines intersect each other and at the intersecting point, some pair of angles are formed which we call vertically opposite angles, as the name describes that they have vertically opposite angles.
We have two lines p and q which are parallel to each other, line t is crossing both lines as shown in the figure.
∠1 = 126° and ∠3 = 126°
For the angles ∠2 and ∠4:
∠2 = 180° - 126° ⇒ 54°
From the definition of the vertically opposite angle:
∠2 =∠4 = 54°
∠5 = 126° and ∠7 = 126°
∠8 = 180 - 126° = 54°
From the definition of the vertically opposite angle:
∠8 = ∠6 = 54°
Thus, the measures of the angles ∠2,∠4,∠6, and ∠8 are 54°, 54°, 54°, and 54° respectively or all the angles are the same.
Learn more about the vertically opposite angles here:
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