< = angle

An exterior angle is formed between a side and the extension of a side. It will always be a linear pair with an internal angle. In the diagram below, <4 is the exterior angle. The exterior angle theorem states that the external angle is equal to the sum of the two remote angles. The remote angles are those interior angles that are not adjacent to the exterior angle so in this case <1 and <2 are the remote angles.

m<1 + m<2 = m<4, Explain why this is true please !!

enter image description here

  • $\begingroup$ HINT: m<1 + m<2 + m<3 = 180 (angle sum in triangle). m<3 + m<4 = 180 (angle sum on straight line) $\endgroup$ – Mufasa Sep 30 '15 at 21:23

Angle $1$ + Angle $2$ + Angle $3$ = 180

Angle $3$ + Angle $4$ = 180.

The result is that Angle $4$ = Angle $1$ + Angle $2$.


Your Answer

By clicking "Post Your Answer", you acknowledge that you have read our updated terms of service, privacy policy and cookie policy, and that your continued use of the website is subject to these policies.

Not the answer you're looking for? Browse other questions tagged or ask your own question.