120+120+192=432 is the area
opposite angles in a quadrilateral inscribed in a circle are supplementary (they add up to 180 degrees)
In this quadrilateral, point O and point Q are opposite to each other, meaning they add up to 180 degrees
So,
O+Q=180
x+17 + 6x-5 =180
7x+12=180
7x=168
x=24
you are trying to find the measure of angle ROP and this is the same as angle O which was given to be x+17
But now you know x is 24 degrees so x+17 = 24+17 = 41 degrees
Answer:
π/3.
Step-by-step explanation:
In order for two lines to be perpendicular, their slopes must multiply together to equal to negative one
So we do negative one divided by 2/5 to get the slope of the red line
Which is -5/2
To check, we do 2/5 multiplied by -5/2 which equals to -1 so our answer is correct