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Angle 8 is 110°
and lines P
and Q
are parallel. Find the measure of angle 2.
(1 point)
°
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8 months ago
![Explain Bot](/images/users/4931/128x128.jpeg)
8 months ago
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°.
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8 months ago
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°.
7 months ago