According to the statement, ∠BAM and ∠CTX are complementary. Complementary = add up to 90°
∠BAM = 2x + 4 ∠CTX = x + 11
This means that the two angles added together will equal 90°. (∠BAM) + (∠CTX) = 90 (2x + 4) + (x + 11) = 90
Combine like terms. 3x + 15 = 90 3x = 75 x = 25
So the value of x would be 25. ------------------------ Now if you are asked for the measure of each angle, just plug in the x for both of the expressions. ∠BAM = 2x + 4 ∠BAM = 2(25) + 4 ∠BAM = 50 + 4 ∠BAM = 54
∠CTX = x + 11 ∠CTX = (25) + 11 ∠CTX = 36
Now check it by adding them together and seeing if they equal 90. 54 + 36 = 90 90 = 90
