Given the diagram shown, prove or disprove that angle 2 angle 1

Question

Given the diagram shown, prove or disprove that angle 2 > angle 1

exoexoexo · Answer

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seratul · Answer

Do you think angle 2 is bigger or smaller than angle 1? It's okay if you don't know.

exoexoexo · Answer

I'm not sure because it can either be bigger, smaller, or congruent

seratul · Answer

Alright. I think the best way to figure this out is by putting in angle values for x y and w.
Lets say x is 60 and y is 60, what is the value of w?

seratul · Answer

Remember, all angles of a triangle equal to 180.

exoexoexo · Answer

w= 60

seratul · Answer

Correct. Now, for the smaller triangle, is seems that both x and y are cut in about half. What would that make the measure of angle z (angle 1) equal to?

seratul · Answer

In other words, would the value of angle 1 be bigger than angle 2?

seratul · Answer

Are you confused?

exoexoexo · Answer

I'm pretty confused because I think I should be solving this using the theorems for exterior and interior angles of a triangle

seratul · Answer

Hmm, i'm not sure if I remember the theorems for exterior and interior angles. Maybe someone else can finish helping you. I'm sorry.

exoexoexo · Answer

thank you for the help though :)

dumgai · Answer

2+2