Question

What is the measure of x? Help me on this Geometry question.​

Answer 1

21°

Explanation:

the angles of triangle abc has to = 180 so subtract the known angles to get 21

angles bca and daf have to be the same so its 21

Answer 2

`x=21`

Explanation:

We have been given an image of two parallel lines cut by a transversal. We are asked to find the measure of x.

We know that corresponding angles of two parallel lines are equal. We can see that angle BCA and angle DAF are corresponding angles.

Let us find measure of angle BCA using angle sum property.

`54^(\circ)+105^(\circ)+m\angle BCA=180^(\circ)`

`159^(\circ)+m\angle BCA=180^(\circ)`

`159^(\circ)-159^(\circ)+m\angle BCA=180^(\circ)-159^(\circ)`

`m\angle BCA=21^(\circ)`

Therefore, the value of x is 21 degrees.