What are the values of a and b in the figure?

a = 76°

b = 124°

Step-by-step explanation:

Since the lines are parallel, we can prove that the smaller triangle's missing angle (shares a line with ∠b) is 56°.

180-56=124°

∠b=124°

Now to find Angle A:

180-56-48=

124-48=

76°

∠a=76°

They are similar for their radii, and perimeters have the  same ratio: 2

Step-by-step explanation:

The similarity of circles is proved, when we can compare the ratio, between the two radii and the two perimeter and it is the same.

2. The Circle X, has a radius of 6 and the circle Y has the radius of 3.

So let's do it:

3. Now let's check the Perimeters:

4. In addition to this, we can do this Geometrically, by inserting the Circle Y within the Circle X, and if dilate by the scale factor of 2 we'll have these two circumferences coincide.