PLZ HELP ME WHOEVER ANSWERS FIRST CORRECTLY I WILL MAKE BRAINLIEST

Problem 1

Work Shown:

For any triangle, the three angles always add to 180.

60+60+x = 180

x+120 = 180

x = 180-120

x = 60

This triangle is considered equiangular because all angles are equal. It is also equilateral meaning all sides are the same length.

Problem 2

Work Shown:

We'll use the remote interior angle theorem. This is where we add two interior angles, and that sum is equal to an exterior angle that is not adjacent to any of the interior angles mentioned.

So basically we can say

x = 64+70

x = 134

If you want a longer method, then let y be the missing interior angle of the triangle. Note how 64+70+y = 180 which solves to y = 46. Then note how y+z = 180 since the angles y,z are a linear pair. That means y+z = 180 turns into 46+z = 180 which solves to z = 134.

Problem 3

Work Shown:

Use the remote interior angle theorem

(interior angle1)+(interior angle2) = remote exterior angle

(24) + (2x+18) = 3x+6

2x+42 = 3x+6

42-6 = 3x-2x

36 = x

x = 36

the solution is the point

step-by-step explanation:

we have

> equation a

> equation b

adds equation a and equation b

substitute the value of x in equation b to find the value of y

the solution is the point

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: