Answer:
first angle: 27 degrees
second angle: 135 degrees
third angle: 18 degrees
Step-by-step explanation:
Represent each angle with a variable x and sum them to 180 degrees, the total angle measure of a triangle. So...
first angle: x
second angle: 5x
third angle: 2x/3
x+5x+2x/3=180 Combine like terms
6x+2x/3=180 Change the 6x terms to have a denominator of 3
18x/3+2x/3=180 Combine like terms
20x/3=180 Cross multiply to solve for x
20x=540 so x=27
Now plug in to get angles:
first angle: 27
second angle: 135
third angle: 18
Check: 27+135+18=180
The sum of the 3 inside angles of a triangle needs to equal 180:
11x-5 + 6x + 5 + c = 180
Combine like terms:
18x = 180
Divide both sides by 18:
X = 10
Solve for Q:
11x -5= 11(10) -5 = 110-5 = 105 degrees
Answer:
Angle 1 and angle 3 are vertical angles.
Step-by-step explanation:
They are diagonal from each other causing it to be vertical angles and equal.
Answer:
513 people per square mile
Step-by-step explanation:
because
