Respuesta :

abidemiokin

The measure of angle 1 is equal to angle  3

From the diagram, if BA is perpendicular to BD, then;

  • m<1 + m<2 = 90 degrees

Similarly, if BC is perpendicular to BE, then;

  • m<2 + m<3 = 90 degrees

Equating both expressions will give:

  • m<1 + m<2 = m<2 + m<3

Subtract m<2 from both sides

m<1 + m<2 - m<2=  m<2 + m<3 - m<2

m<1 = m<3

Hence the measure of angle 1 is equal to angle  3

learn more on perpendicular lines here: https://brainly.com/question/1202004