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The measure of ∠ABD is (0.18x+56)° and the measure of ∠CBD is (0.07x+46)°. Find the value of x.

The Measure Of ABD Is 018x56 And The Measure Of CBD Is 007x46 Find The Value Of X class=

Answer :

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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]

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