1. For the shown triangle, AD is 42, MD is 27, AN is 20 and NG is 3x+3.

Step-by-step explanation:

According to triangle similarity, corresponding sides have equal ratios.

Convert the ratio as below:

Simplify and solve for x:

x = 11

Step-by-step explanation:

Since the given triangle are proportional to each other. So,

AM/AD = AN/AG

(AD - MD)/AD = AN/(AN + NG)

=> (42 - 27)/42 = 20/(20 + 3x + 3)

=> 15/42 = 20/23 + 3x

=> 15(23 + 3x) = 42(20)

=> 345 + 45x = 840

=> 45x = 840 - 345

=> 45x = 495

=> x = 495/45

=> x = 11

a. 74 degrees

step-by-step explanation:

because the lines through the side and the box in the corners shows that these are congruent triangles and since they are mirrored the 37 degrees is also mirrored so the answer is 37 * 2 which is 74.