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denpristay [2]
2 years ago
7

What is the measure of angle PBQ

Mathematics
2 answers:
iVinArrow [24]2 years ago
8 0

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! :)

lord [1]2 years ago
6 0
The measure of pbq is 51
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