homeworkhelp176
contestada

Maths help PLZZ!!!

In the diagram AB is parallel to DC.
Angle ABC = 70°
Angle ACD = 55°
Not drawn accurately
Show that triangle ABC is isosceles.
You must give reasons in your working.

Maths help PLZZ In the diagram AB is parallel to DC Angle ABC 70 Angle ACD 55 Not drawn accurately Show that triangle ABC is isosceles You must give reasons in class=

Respuesta :

kudzordzifrancis

Answer:

Since m<BCA=m<CAB=55°, it follows that |AB|=|AC|, this means triangle ABC is isosceles.

Step-by-step explanation:

In the diagram AB is parallel to DC.

This means that, by the alternate interior angles theorem?

[tex] \angle \: CAB = 55 \degree[/tex]

Also the sum of angles in a triangle should be 180° .

[tex]m \angle \: BCA = 55 \degree + 70 \degree = 180 \degree[/tex]

[tex]m \angle \: BCA = 180 - 55 - 70 = 55 \degree[/tex]

Since m<BCA=m<CAB=55°, it follows that |AB|=|AC|

Hence triangle ABC is isosceles.

Otras preguntas