Question

Need help! Thank you :)

Answer 1

The value of
`x` is 10.

Explanation:

Both angles ABC and CBD are complementary, that is, the sum of the measures of both angles equals 90°, that is:

`\angle ABC + \angle CBD = 90^(\circ)` (1)

If we know that
`\angle ABC = 5\cdot x` and
`\angle CBD = 4\cdot x`, then the value of
`x` is:

`5\cdot x + 4\cdot x = 90^(\circ)`

`9\cdot x = 90^(\circ)`

`x = 10`

The value of
`x` is 10.