Question

Suppose that ∠BNR and ∠RNA are adjacent angles where m∠BNR=12w-19,

m∠RNA= ¼(w+199), and m∠BNA=2(12w-19).
What is the value of W

Answer 1

Explanation:

Sum of interior adjacent angle is 180 degrees.

Given

m∠BNR=12w-19,

m∠RNA= ¼(w+199)

m∠BNA=2(12w-19).

Substitute

m∠BNR+m∠RNA=

¼(w+199)+12w-19, = 2(12w-19).

W+796+48W-76 = 96W-152

49W-96W = -152+76-796

-47W = 872

W = 872/47

W = 18.55