Try it Proving the sum of the Interior Angle Measures of a
Triangle Is 180°
Given: y || z
Prove: m25+ m2 2 + m26 = 180°
Angige Lines Statements Reasons
21
23
11
25
26
m21
m23
m25
m 26
!
A
M
1
1
2
y
Reasons
2 alternate interior angles theorem
3. def. of
4. angle addition postulate
4/5
С
6 72
B
Statements
2. 21-25
3. mZ1 = m25
4. mZ1+ m2 2 + m2 3 =
mZLAM
5. m21+ m2 2 + m 23 = 180
6. 232 26
✓ 7. m3 = m26
8. m25+ m2 2 + m 26 = 180
5. def. of straight angle
6. alternate interior angles theorem
7. def. of
8. substitution
Correct! You have completed this
exercise

∞ this is your sign

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation:

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation:

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answer