Vertical Angles Quick Check
4 of 54 of 5 Items
Question
Use the image to answer the question.
An illustration shows five rays emerging from an unlabeled point, forming the following angles from left to right: 1, 2, 3, 4, and 5. Angles 1 and 2 together form a right angle.
If m∠4=31° , what is m∠2 ?
(1 point)
Responses
180°180 degrees
31°
31 degrees
90°
90 degrees
59°
3 answers
59 degrees
Use the image to answer the question.
An illustration shows two parallel slanting lines m and l intersecting a vertical line k. The angles formed at the intersection of lines l and k are 1, 2, 4, and 3. The angles 1 and 4 are opposite to each other while angles 2 and 3 are opposite to each other. The angles formed at the intersection of lines m and k are 5, 6, 8, and 7. The angles 5 and 8 are opposite to each other while angles 6 and 7 are opposite to each other.
If m∠6=140° , what is m∠7 ?
(1 point)
Responses
40°
40 degrees
180°
180 degrees
140°
140 degrees
50°
An illustration shows two parallel slanting lines m and l intersecting a vertical line k. The angles formed at the intersection of lines l and k are 1, 2, 4, and 3. The angles 1 and 4 are opposite to each other while angles 2 and 3 are opposite to each other. The angles formed at the intersection of lines m and k are 5, 6, 8, and 7. The angles 5 and 8 are opposite to each other while angles 6 and 7 are opposite to each other.
If m∠6=140° , what is m∠7 ?
(1 point)
Responses
40°
40 degrees
180°
180 degrees
140°
140 degrees
50°
To find m∠7, we can use the fact that angles 6 and 7 are vertical angles and therefore congruent. Since m∠6 = 140°, m∠7 must also be 140°.
Therefore, the correct response is: 140°
Therefore, the correct response is: 140°