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.
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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
