Question

A.Solve for x. Then, using that information, find the measure of

B.Solve for y. Then, using that information, find the measure of FE and AB.

Answer 1

See answers below

Explanation:

Since both trinagles asre similar hence the ratio of the similar sides are equal.

From both triangles;

y + 7 = 3y - 7

y - 3y = -7-7

-2y = -14

y = 14/2

y = 7

FE = 3y - 17

FE = 3(7) - 17

FE = 21 - 17

FE = 4

AB = y'+7

AB = 7 + 7

AB = 14

Similarly

3x+20 = 5x - 80

3x -5x = -80-20

-2x = -100

x = 100/2

x = 50

<A = 3x + 20

<A = 3(50) + 20

<A = 150 + 20

<A = 170degrees

Hence x= 50 and y = 7