Question

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.

Answer 1

Answer:

The angles measure 0.5 and 89.5, respectively.

Step-by-step 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.

$0.4x-52=90\\0.4x=90+52\\x=\frac{142}{0.4}\\ x=355$

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.