165,436 views
9 votes
9 votes
pls help I was taught this concept today and I can't understand or get it right!! Find the measure of the arc or angle indicatedFind the measure of mPSQa) 53°b) 248°c) 72°d) 65°

pls help I was taught this concept today and I can't understand or get it right!! Find-example-1
User Anurag Reddy
by
3.1k points

1 Answer

24 votes
24 votes

Step 1:

Find the value of x

Using secant theorem

[tex]<\text{PQR =}\frac{1}{2}\text{ }\timesStep 2:

If x = 9

Then 6x+2 = 6(9) + 2 = 54+2 = 56 degrees

The measure of arc PQ = 14(9) - 14 = 126 - 14 = 112 degrees

Step 3:

The total angle in a circumference is 360 degrees

Therefore ,

mPQ + mPSQ = 360

mPSQ = 360 - mPQ

mPSQ= 360 - 112 = 248degrees

The answer is option B

pls help I was taught this concept today and I can't understand or get it right!! Find-example-1
User Ben Guthrie
by
2.8k points