In the figure above, line AG is tangent to circle C at point F, the measure of

If the measure of Arc BH = 70°, what is m

A) 23°

Step-by-step explanation:

After observing the diagram shown above, we can see that the circle is places on a straight line labelled as AFG

It is important to note that angles on a straight line (AFG) = 180°

We are given

Angle BFA =61°

Arc EH = 26°

Arc BH = 70°

Angle GFE = unknown. We are to find this angle.

Since the angle on a straight line(AFG) = 180°

Therefore,

180° = Angle BFA + Arc EH + Arc BH + Angle GFE

180° = 61° + 26° + 70° + Angle GFE

180° = 157° + Angle GFE

Angle GFE = 180° - 157°

= 23°

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .