If measure KL=136 and measure LH= 113. find measure angle KJH A) 113
B) 120°
C) 136
D) 111

D) 111

Step-by-step explanation:

In order to find ∠KJH we must find the measure of arc KH

Note that ∠KJH is a central angle and arc KH is the arc it intercepts

Because ∠KJH is a central angle it equal the measure of its intercepted arc

Thus, ∠KJH = arc KH

J is a circle that is made up of 3 arc; KL, LH and KH

If you didn't know the sum of the arcs in a circle = 360°

Which means that arc KL + arc LH + arc KH = 360

If arc KL = 136 and arc LH = 113

Then 136 + 113 + arc KH = 360

                        ^ ( note that we just created an equation that we can use to

                            solve for arc KH )

We now solve for arc KH

136 + 113 + arc KH = 360

* combine like terms *

136 + 113 = 249

we now have 249 + arc KH = 360

* subtract 249 from each side *

249 - 249 cancels out

360 - 249 = 111

We're left with arc KH = 111°

Like stated previously arc KH = ∠KJH

Hence, ∠KJH = 111°

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2

51-50

step-by-step explanation: