In the figure below, m< rop = 125°.

find the measure of the arc rpq. for the arc rpq, write two or more complete sentences explaining which theorem or postulate you used to find your answer. include your equations and calculations in your final answer.

The measure of the arc RPQ is 205°

Step-by-step explanation:

Given the figure in which

m∠ROP=125°

we have to find the measure of the arc RPQ.

As QP is diameter i.e a straight line therefore

∠1 and ∠2 forms a linear pair hence these angles are supplementary.

By supplementary law

∠1+∠2=180°

∠1+125°=180°

∠1=180°-125°=55°

Now we have to find the measure of the arc RPQ i.e

we have to find the measure of ∠2+∠3

By theorem, angles around a point will always add up to 360 degrees.

∴ ∠1+∠2+∠3=360°

55°+∠2+∠3=360°

∠2+∠3=860-55=205°

Hence, the measure of the arc RPQ is 205°

b) k’(6, 4); l’(3, 3)

step-by-step explanation:

a 270° clockwise rotation maps every point (x, y) to (y, -x). (it negates the x-coordinate and then switches it and the y-coordinate.)

this means the endpoints of the side congruent to kl, k' and l', would be mapped as:

k'(-4, 6)→(6, 4)

l'(-3, 3)→(3, 3)

really your just stupid if you don't know this

step-by-step explanation: