In a triangle, the measure of the first angle is twice the measure of the second ane. the measure of the third angle is 72° more than the measure of the second angle. use the factor that the sum of the three angles of a triangle is 180 to find the measure of each angle

Let s represent the measure of the second angle. Then the sum of the three angles of the triangle is ...

... first + second + third = 180°

... 2s + s + (s+72°) = 180° . . . . substitute the given information

... 4s = 108° . . . . . . . . . . . collect terms, subtract 72°

... s = 27° . . . . . . . . . . . . . divide by 4

The first angle measures 54°.

The second angle measures 27°

The third angle measures 99°.

answer: translate the circles so they share a common center point and dilate circle y by a scale factor of 3.

first, you divide the triangle in two, tô form a retangle triangle. after, using pythagoream theorem:

18^2 = 14^2 + (x/2)^2

(x^2/4) + 196 = 324

x^2/4 = 324 - 196

x^2/4 = 128

x^2 = 512

x = √512

x = √2^9

x = 16√2 cm

i hope i you.