Question

If the m∠X = 34° and the m∠Z = 26°, what is the m∠Y? m∠Y = 26° m∠Y = 34° m∠Y = 60° m∠Y = 120°

Answer 1

Answer: Fourth option is correct.

Explanation:

Consider Δ XYZ,

We know that "Sum of interior angles of a triangle is supplementary."

So, we have given that

m∠X = 34°

m∠Z = 26°

so, it becomes, according to the above statement:

`\angle X+\angle\ Y+\angle Z=180^\circ\\\\34^\circ+\angle Y+26^\circ=180^\circ\\\\60^\circ+\angle Y=180^\circ\\\\\angle\ Y=180^\circ-60^\circ\\\\\angle\ Y=120^\circ`

Hence, Fourth option is correct.

Answer 2

m<y=120.
because....
m<x=34 and m<z=26, that equals 60.
The interior of a shape equals 180. so 180-60=120.
So your third angle would equal 120.
Hope that helps!!!