Answer: 19
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Step-by-step explanation:
Let's say x is the measure of angle 1, aka angle ABC. We'll also say the variable y is equal to angle 2, aka angle CBD.
Angles x and y add to angle ABD, which is 95 degrees
x+y = 95
Since angle 2 is four times that of angle 1, we also know that,
y = 4x
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Let's apply substitution to solve for x
x+y = 95
x+4x = 95 ... replace y with 4x
5x = 95
x = 95/5
x = 19 which is the measure of angle 1
y = 4x = 4*19 = 76
x+y = 19+76 = 95 which helps confirm the correct answer.