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.
What is m∠1 if m∠4=25° ?
__°
If angles 1 and 4 are opposite to each other and m∠4=25°, then m∠1 is also 25°.
Use the image to answer the question.
An illustration shows a horizontal line intersecting two parallel slanting lines. The angles the horizontal line forms with left parallel line are 1, 2, 3, and 4. Angles 1 and 2 are complementary. Angles 2 and 4 are complementary. Angles 4 and 3 are complementary. Angles 3 and 1 are complementary. Angles 1 and 4 are opposite each other. Angles 2 and 3 are opposite each other. The angles the horizontal line forms with right parallel line are 5, 6, 7, and 8. . Angles 5 and 6 are complementary. Angles 6 and 8 are complementary. Angles 8 and 7 are complementary. Angles 7 and 5 are complementary. Angles 5 and 8 are opposite each other. Angles 6 and 7 are opposite each other.
Which angle is a vertical angle with ∠7 ?
The angle that is a vertical angle with ∠7 is ∠5.
Four angles share a vertex. m∠1=98° , m∠2=82° , m∠3=98° , and m∠4=82° . Which angle is a vertical pair with ∠1 ?
∠4
∠3
none
∠2
The angle that is a vertical pair with ∠1 is ∠3.
Two intersecting lines create four angles with the same vertex, labeled A , B , C , and D . Angle B is adjacent to ∠A and ∠C . Find m∠A if m∠C=75°
180°
105°
15°
75°
If angle C is 75° and angle B is adjacent to both angles A and C, then angle A must also be 75°.
So, m∠A = 75°.
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 ?
90°
31°
180°
59°
If angles 1 and 2 together form a right angle, then they must add up to 90°. Since m∠4 = 31°, and angle 4 is adjacent to angle 2, then m∠2 must be 90° - 31° = 59°.
So, m∠2 = 59°.
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 ?
140°
50°
40°
180°