x= 19º, y=104º
1) For the given picture, let's find the value for x.
m∠1 = 4x, m∠2= y, m∠3=76
2) According to the Vertical Angle Theorem we can state that
∠1≅∠3 So, we write
4x = 76
x= 19º
Since∠1 and ∠2 are supplementary,∠2 and ∠2 are supplementary either we can write:
∠3+∠2=180º
76+y=180º
y=180-76
y=104
