The angle measurements in the diagram are represented by the following expressions. A= 5x - 15°
B = 2x + 21°
Solve for x and then find the measure of

45°

Step-by-step explanation:

A and B are Alternate exterior angles and congruent, thus

5x - 15 = 2x + 21 ( subtract 2x from both sides )

3x - 15 = 21 ( add 15 to both sides )

3x = 36 ( divide both sides by 3 )

x = 12

Thus

∠ A = 5x - 15 = 5(12) - 15 = 60 - 15 = 45°

∠ B = 2x + 21 = 2(12) + 21 = 24 + 21 = 45°

both triangles are similar because 2 is just smaller than the big one 1 is similar because they are facing different way's but are similar to each other

step-by-step explanation: