Two angles whose sides are opposite rays are called ____ angles. Two coplanar angles with a common side, a common vertex, and no
common interior points are called ____ angles.
a) adjacent; vertical
b) adjacent; complementary
c) vertical; adjacent
d) vertical; supplementary
a) adjacent; vertical
b) adjacent; complementary
c) vertical; adjacent
d) vertical; supplementary
2 answers:
Two angles whose sides are opposite rays are called vertical angles. Two coplanar angles with a common side, a common vertex, and no common interior points are called adjacent angles.
<h3>Further explanation </h3>Adjacent Angles are two angles that share a common vertex, a common side, and no common interior points. They share a vertex and side, but do not overlap. The example is shown in the picture below.
Where ∠1 and ∠2 are adjacent angles, ∠ABC and ∠1 are NOT adjacent angles because ∠ABC overlaps ∠1.
Vertical Angles are two angles whose sides form two pairs of opposite rays (straight lines). Vertical angles are located across from one another in the corners of the "X" formed by the two straight lines. The example is shown in the picture below.
Where ∠1 and ∠2 are vertical angles, ∠3 and ∠4 are vertical angles, Vertical angles are not adjacent. ∠1 and ∠3 are not vertical angles (they are a linear pair) and Vertical angles are always equal in measure.
<h3>Learn more</h3>- Learn more about vertical angles brainly.com/question/2448393
- Learn more about pair of angles brainly.com/question/1358595
- Learn more about adjacent angles brainly.com/question/10557061
<h3>Answer details</h3>
Grade: 9
Subject: mathematics
Chapter: pair of angles
Keywords: vertical angles, adjacent angles, pair of angles, complementary angles, horizontal angles
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The distance travelled from the starting point is 29 km , the bearing is 344 degree
The missing diagram is attached with the answer.
<h3>What is Bearing Angle ?</h3>It is the horizontal angle between the object and another object.
It is given that the car starts from point travels for 30km on a bearing of 145, then 10 km on a bearing of 250
(a) the distance travelled from the starting point
It can be understood from the diagram that
To determine the distance , b is to determined4
By applying Cosine rule
b² = a² +c²-2ac cos
b² = 10² +30² - 2* 30*10 cos75
b² = 100+900 -600* 0.2588
b² = 100-155.2914
b² = 844.7
b = 29 km
Therefore the distance travelled from the starting point is 29 km.
(b) the bearing of the starting point from the car.
To determine the bearing ,
angle C has to be determined
By sine rule
sin C / c = sin B / b
sin C = sin 75 * 30 / 29
sin C = 0.9970
C = sin⁻¹ 0.9970
C = 85.59 degree
angle C = α +70 degree
α = 15.59 degree
Bearing = 70 + 20 + 9 0 + 90+74 = 244 degree
To know more about Bearing
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