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

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.