Answer:
m∠PBQ=51
Step-by-step explanation:
By vertical angles theorem, ∠PBQ ≅ ∠LBM, so m∠PBQ=m∠LBM.
And since ∠LBM & ∠LBQ are supplementary, we'll write,
m∠LBM+LBQ=180°
3x+(4x+61)=180°
Let's solve for x:
7x=119
7x/7=119/7
x=17
So...
m∠LBM=3(17)
m∠LBM=51
This means that m∠PBQ=51
Hope this helps! :)
