Angle 8 is 110°
and lines P
and Q
are parallel. Find the measure of angle 2.
(1 point)
°
Sorry, but without a visual representation or additional information, we cannot determine the measure of angle 2.
To find the measure of angle 2, we need to use the properties of parallel lines and angles.
First, we need to understand the relationship between angle 2 and angle 8. Angle 8 is an alternate interior angle with angle 2 since lines P and Q are parallel. Alternate interior angles are congruent, which means they have the same measure.
Given that angle 8 is 110°, we can conclude that angle 2 also measures 110°. Therefore, the measure of angle 2 is 110°.
To find the measure of angle 2, we need to use the properties of parallel lines and transversals. Angle 2 is an alternate interior angle with angle 8.
According to the alternate interior angles theorem, if two parallel lines are intersected by a transversal, the alternate interior angles formed are congruent.
Therefore, angle 2 is congruent to angle 8.
Given that angle 8 is 110°, the measure of angle 2 is also 110°.