Find the measure of the angle indicated with a?, and enter the number only

9514 1404 393

  45°

Step-by-step explanation:

Arc YZ is the difference between the given arcs and 360°:

  126° +144° +YZ = 360°

  YZ = 360° -270° = 90°

The inscribed angle (?) is half the measure of the arc it intercepts:

  ? = 90°/2

  ? = 45°

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have