For angles in first quadrant, the reference angle is itself. In second quadrant, the equation would be 180 - x where x is the measure of the angle. In third quadrant, x - 180. Lastly, in the fourth quadrant, the reference angle is 360 - x. From the second set of angles in the given, the reference angles are.
(1) 135 ; RA = 180 - 135 = 45
(2) 240; RA = 240 - 180 = 60
(3) 270; RA = 90 (lies in the y - axis)
(4) 330; RA = 360 - 330 = 30
Answer:
<h2><u><em>
Y= 10/3 or 3.333....</em></u></h2>
Step-by-step explanation:
12y-19= 6y+1
12y-6y = 1 +19
6y = 20
y = 20/6
y= 10/3 or 3.33..
<h2><u><em>
HAVE A NICE TIME :)</em></u></h2><h2><em>
pls give a </em><u><em>
brainliest</em></u><em>
if it is CORRECT</em></h2>
Put it on the graph as 2xy=10!
<span>As only one team is to be made that means we have to choose 2 people from total 13 people. As the order that two people are selected does not matter here so we just have to make all possible combination of the team
So the answer is 13*12/2
answer= 78 ways</span>
Answer:
Acute angle = 30°
Obtuse angle = 150°
Step-by-step explanation:
Method 1:
Let x represent the measurement of the obtuse angle
Obtuse angle = x
Acute angle = ⅕ of x = x/5
Thus:
x + x/5 = 180° (angels on a straight line)
Solve for x
(5x + x)/5 = 180
Multiply both sides by 5
5x + x = 180 × 5
6x = 900
x = 900/6
x = 150
Obtuse angle = 150°
Acute angle = x/5 = 150/5 = 30°
Method 2:
Since acute angle = ⅕ of the obtuse angle, therefore,
Obtuse angle = 5*acute angle
Let acute angle = x
Obtuse angle = 5x
Equation:
5x + x = 180° (angles on a straight line)
Solve for x
6x = 180
x = 180/6
x = 30
Acute angle = x = 30°
Obtuse angle = 5x = 5*30 = 150°
