Question

In the figure, is an exterior angle to triangle .

(a) What is the angle measurement of Angle 3. Explain the angle relationship you used.
(b) What is the angle measurement of Angle 4. Explain the angle relationship you used.
(c) What is angle relationship between angles 3 & 4? What is the angle relationship between angles 1, 2, & 3? What do you notice that is similar between the two? What is different?
(d) The combination of which two angles in the triangle equal angle 4? Use your work from Part C to figure out why this is the case, and explain your conclusion.

Answer 1

I don't have c but I do have a and b

Explanation:

Part A)

Angle 3 is 103° because 77° + ∠3= 180° and ∠3 = 180° - 77° = 103°

Part B)

Angle 4 is 77° because ∠3 + ∠4 = 180° and ∠4 = 180° - 103° = 77°

These are the answers for k12