Answer:
answer in pdf below. hope it helps :)
Step-by-step explanation:
Hopefully this answered your question!
Answer:
x = 16
y = 9
Step-by-step explanation:
Find x first. The unmarked angle underneath the x + 19 is 9x + 1 (corresponding angles so congruent so same measure as the angle below)
So the two angles add up to 180°
x+19 + 9x + 1 = 180°
combine like terms
10x + 20 = 180
subtract 20
10x = 160
divide by 10
x = 16
Now you can find the measure of the angle marked 9x+1.
9(16) + 1
= 144 + 1
= 145
Now find y. The angle marked 9x+1 is now known to be a 145° angle. So that angle with the angle marked 3y+8 must make 180°
3y + 8 + 145 = 180
combine like terms
3y + 153 = 180
subtract 153
3y = 27
divide by 3
y = 9
Hi!
We will find the sum you are looking for like this:
3 * 1,19$ + 6 * 2,29$ = 3,57$ + 13,74$ = 17,31$.
Hope this helps!
(b)
The 50 degree angle and angle b are vertical angles, which means they are congruent.
The 50 degree angle and angle c are a linear pair, which means that they are supplementary/add up to 180 degrees.
Angles a and c are vertical angles, which means they are congruent.
a = 130
b = 50
c = 130
(c)
The 90 degree angle and angle b are vertical angles, which means they are congruent.
The 50 degree angle and angle c are vertical angles, which means they are congruent.
The 50 degree angle, 90 degree angle, and angle d all form a line, which means that they are supplementary and add up to 180.
Angle d and angle a are vertical angles, which means they are congruent.
a = 40
b = 90
c = 50
d = 40
(e)
The measure of a circle is 360 degrees. These three angles form a circle, so therefore if we add them all up, they will equal 360 degrees.
3a + 4a + 5a = 360
12a = 360
a = 30
(f)
The measure of a circle is 360 degrees. These four angles form a circle, so therefore if we add them all up, they will equal 360 degrees.
3a + 4a + 5a + 6a = 360
18a = 360
a = 20
Hope this helps!! :)
