Answer:
The missing angle in Triangle A is 66 degrees
The missing angle in Triangle B is 34 degrees
Because Triangle A has measures of 34 degrees, 80 degrees, and 66 degrees
and
Triangle B has measures of 80 degrees, 66 degrees, and 34 degrees, we can conclude that THEY ARE SIMILAR TRIANGLES
Step-by-step explanation:
The sum of angles in a triangle is 180 degrees.
Given that triangle A has m<1 = 34 degrees, m<2 = 80 degrees. Let the missing angle be x, then
x + 34 + 80 = 180
x + 114 = 180
Subtract 114 from both sides
x = 180 - 114
= 66 degrees
Triangle B has m<1 = 80 degrees, m<2 = 66 degreess. Let the missing angle be y, then
y + 80 + 66 = 180
y + 146 = `180
Subtract 146 from both sides
y = 180 - 146
= 34 degrees
Triangles A and B are similar, since they have similar measure of angles.