Given: circle k(o), m∠p=95°, m∠j=110°, m∠lk=125°
find: m∠pj


Given: circle k(o), m∠p=95°, m∠j=110°, m∠lk=125° find: m∠pj

Answers

I'll do the first one for you. it isn't very hard at all.on number one, you have (50 × 3), which equals 150, and (3 × 3), which equals 9. after you establish that, you add 150 and 9 together. so, (150 + 9) equals 159.this means that 53 × 3 = 159.

b

step-by-step explanation:

Answer question a. answer question b

The measure of the arc PJ is 75\°

Step-by-step explanation:

step 1

Find the measure of angle L

we know that

In a inscribed quadrilateral opposite angles are supplementary

so

m<L+m<J=180\°

we have

m<J=110\°

substitute

m<L+110\°=180\°

m<L=70\°

step 2

Find the measure of arc KJ

we know that

The inscribed angle measures half that of the arc comprising

so

m<P=\frac{1}{2}(arc\ LK+arc\ KJ)

substitute the values

95\°=\frac{1}{2}(125\°+arc\ KJ)

190\°=(125\°+arc\ KJ)

arc\ KJ=190\°-125\°=65\°

step 3

Find the measure of arc PJ

we know that

The inscribed angle measures half that of the arc comprising

so

m<L=\frac{1}{2}(arc\ PJ+arc\ KJ)

substitute the values

70\°=\frac{1}{2}(65\°+arc\ PJ)

140\°=(65\°+arc\ PJ)

arc\ PJ=140\°-65\°=75\°



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