.If m∠ ROT = 155, what are m ∠ ROS and m∠TOS?

Can someone explain how to do it also?

ROS is 72 degrees.

TOS is 83 degrees.

Step-by-step explanation:

So we know that the measure of Angle ROT is 155.

Angle ROT is the combined value of Angle ROS and Angle TOS. In other words:

Substitute 155 for ROT, (4x-20) for ROS, and (3x+14) for TOS. Thus:

Combine like terms:

Add:

Add 6 to both sides:

Divide both sides by 7:

So, the value of x is 23.

Now, plug that into each of the Angle equations to solve for each angle:

Multiply:

Subtract:

Same thing for TOS:

Multiply:

Add:

And we're done!

37

step-by-step explanation:

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.