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The measure of angleDBE is left parenthesis 0.1 x minus 35 right parenthesis degrees and the measure of angle CBE is left parenthesis 0.3 x minus 37 right parenthesis degrees. Find the value of x.

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Answer:

The angles measure 0.5 and 89.5, respectively.

Explanation:

We know by given


\angle DBE= (0.1x-35) and
\angle CBE = 0.3x-17.

They are complementary angles.

We deduct


\angle DBE + \angle CBE = 90\°, by complementary angle definition.


0.1x-35+0.3x-17=90, by replacing given expressions.


0.4x-52=90\\0.4x=90+52\\x=(142)/(0.4)\\ x=355

Replacing this value in each expression, we have


\angle DBE = 0.1(355)-35=35.5-35=0.5


\angle CBE = 0.3(355)-17=89.5

Therefore, the angles measure 0.5 and 89.5, respectively.

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