Answer:
x = 312
Step-by-step explanation:
We know that ∠ABD and ∠CBD are supplementary, meaning their measures add up to 180°. We can use this knowledge to put both measures into an equation.
[tex](0.18x+56) + (0.07x+46)= 180[/tex]
Simplify.
[tex]0.18x+56 + 0.07x+46= 180[/tex]
Simplify.
[tex]0.25x + 102 = 180[/tex]
Subtract 102.
[tex]0.25x = 180 - 102[/tex]
Simplify.
[tex]0.25x = 78[/tex]
Divide by 0.25
[tex]x = \frac{78}{0.25}[/tex]
Simplify.
[tex]x = 312[/tex]
