The exterior angle theorem states that an exterior angle is equal to the sum of its remote interior angles.
With that we know...
m<QRS+m<RSQ=m<SQP
90+34=x+72
124=x+72
x=52 degrees
answer: 52 degrees
Answer: B. 30
<u>Step-by-step explanation:</u>
When given a secant and a tangent, the formula is:
exterior of secant × secant = tangent²
KM × JK = LK²
10 × (JM + 10) = 20²
10JM + 100 = 400
10JM = 300
JM = 30
Part A: subtract 6 from both sides
Divide by -3 on both sides
X=-3
Part B: add like terms (-2K-3k)
Add 12 to both sides
Add 5k to both sides
Divide by 5 on both sides
K=3
Part C: distribute 6 into the parentheses
Add like terms together (36-5)
Subtract 1 from both sides
Subtract 36v from both sides
Divide by -30 on both sides
-1=v