Question

7.

Find the specified value.
(2x +5)
a. Using the figure to the right, find the value of x.

b. Using the figure to the right find the value of y.

Answer 1

a. The value of x is
`38^(o)`.

b. The value of y is
`25^(o)`.

Explanation:

a. Applying the vertically opposite principle,

(2x + 5) = (3x - 33)

2x + 5 = 3x - 33

33 + 5 = 3x - 2x

38 = x

⇒ x =
`38^(o)`

b. Sum of angles on a straight line =
`180^(o)`

So that,

(4y - 1) + (3x - 33) =
`180^(o)`

But,

( 3x - 33) = (3x38 - 33)

= 114 - 33

=
`81^(o)`

(4y - 1) +
`81^(o)` =
`180^(o)`

4y - 1 =
`180^(o)` -
`81^(o)`

=
`99^(o)`

4y =
`99^(o)` + 1

=
`100^(o)`

y =
`(100)/(4)`

=
`25^(o)`

y =
`25^(o)`

The value of x is
`38^(o)`, and y is
`25^(o)`.