.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!

there is no question content here, but you for the free points! : d