Question

picture attached

Answer 1

scratch #23

Answer 2

for 20.

XY = WZ = 10 (bcoz equidistant chords r equal)

Answer 3

since gh= 80; f = 40 .... that leaves 50 for "e"

Answer 4

the measure of x = m/2 but they say that

2m+m=360

3m = 360

m = 360/3 = 120

x = 60

Answer 5

xy = wz = 10

Answer 6

cant recall #22 tho ...

Answer 7

which one is for which problem?

Answer 8

thanks!! never mind about the last reply

Answer 9

79.5 if i did the math right :)

Answer 10

:)

Answer 11

for 22.

x = 75 deg

Answer 12

how do you do that harkirat?

Answer 13

wait...I'll show u

Answer 14

thank you!

Answer 15

?

Answer 16

As per my figure I first calculate angleY

We use the theorem "The measure of the angle formed by two chords that intersect inside the circle is ½ the sum of the chords' intercepted arcs."

so y = 1/2 (80+130) = 1/2(210) = 105

now angleX + angleY = 180 deg ------linear pair of angles

so angleX = 180-angleY = 180 - 105 = 75 deg

Pls check and tell if it is clear enough.....

Answer 17

We can also solve it like this...

since a circle = 360 deg.

the sum of the three angles marked is 80 + 60+ 130 = 270

so angle for the remaining unmarked arc is 360 - 270 = 90

so x = 1/2 (90+60) = 1/2(150) = 75 deg