Question

Two straight lines of wire are placed on the ground forming vertical angles if the measure of one of the angles formed a 72° what are the measures of the other three angles

Answer 1

The measures of angles are
`\bold{72^(\circ),108^(\circ) and 108^(\circ)}`

Solution:

The angles opposite to each other are equal.

Angle 1 = Angle 3

Angle 2 = Angle 4

Given that one of the angle formed is
`72^(\circ)`

Consider Angle 1 =
`72^(\circ),`

Hence Angle 3 is also
`72^(\circ)`

Since the angle formed in a straight line is
`180^(\circ),`

Angle 1 + Angle 2 =
`180^(\circ)`

`72^(\circ)` + Angle 2 =
`180^(\circ)`

Angle 2 =
`108^(\circ)`

Hence angle 4 is also
`108^(\circ)`