Question

What is the measure of angle PBQ

Answer 1

The measure of pbq is 51

Answer 2

m∠PBQ=51

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! :)