A. ∠4 is congruent to ∠5; True.
B. Two lines are parallel; True.
C. The measure of ∠6 = 90.5°; False.
D. ∠2 and ∠3; True.
<h3>What are the properties of angles of parallel lines?</h3>
- On a common plane, two parallel lines do not intersect.
- As a result, the characteristics of parallel lines with respect to transversals are given below.
- Angles that correspond are equal.
- Vertical angles are equal to vertically opposite angles.
- Interior angles that alternate are equal.
- The exterior angles that alternate are equal.
For the give question;
Two line are cut by the transversal.
∠1 = 90.5° and ∠7 = 89.5°
Thus the result for the given statement are-
A. ∠4 is congruent to ∠5 because they are alternate interior angles; True.
B. Two lines are parallel; True.
C. The measure of ∠6 = 90.5°; False.
∠6 = ∠7 = 89.5°.(correct)
D. ∠2 and ∠3 are supplementary because they are same-side exterior Angeles; True.
Thus, the result for the given statement are found.
To know more about the parallel lines, here
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Answer:
Step-by-step explanation:
<h3>Given</h3>
<h3>To find</h3>
<h3>Solution</h3>
Area formula
- A = lw
- A= 5w*w= 5w²
- 5w² = 500
- w²= 100
- w = √100
- w = 10 m
Then
The number of hours, h, Tara plans to work this month are greater than 16.5 + 19 + 23 + 15.75. Therefore, h > 16.5 + 19 + 23 + 15.75.
h > 74.25
The answer is 30°.
Rule: All three sides must add up to 180°.
Since A=60 and the side vertical to the angle which is 90° then side C would be C=90° and that adds up to 150°, so you can conclude that angle B is 30°.
I hope I helped!