Both angles will equal 180, as there is a line bisecting line AB to create the two angles.
Set up the following equation to have both angles equal 180:


Combine like terms:



Subtract 12 from both sides:

Divide both sides by 2:

We now know the value of x, so plug it into the equation we set up:


An obtuse angle will have a measure above 90 degrees. The number on the left side that is above 90 degrees is 119. This would be the measure for the obtuse angle.
The obtuse angle is
119 degrees wide.
Answer:
≈101
Step-by-step explanation:
Let x and y represent the number of robberies in last year and this year respectively.
Given;
x = 147
This year the number of robberies has gone down 31%.
So;
y = x - 31% of x
y = x - 0.31x
y = 0.69x
Substituting the value;
y = 0.69 × 147
y = 101.43
y ≈ 101. (to the nearest whole number)
The number of robberies this year = 101
The values of x and y that satisfy this system of equations are 10 and 5 respectively
<h3>Simultaneous equation</h3>
Given the system of equations
x + y = 20
3x - 3y = 30
_____________________
x + y = 20
x - y = 10
Add the equations
2x = 20 + 10
2x = 30
x = 30/2
x = 15
Substitute
x -y = 10
15 - y = 10
y = 5
Hence the values of x and y that satisfy this system of equations are 10 and 5 respectively
Learn more on simultaneous equation here: brainly.com/question/16863577
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