Plz I really need help!! What is the measure of angle B in the triangle? This triangle is not drawn to scale.
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mZB=

70

Step-by-step explanation:

Hello There!

In order to find the measure of angle B we need to solve for x

Remember the sum of the angles in a triangle is 180

so we can solve for x using the equation

180=40+x+20+2x-30

step 1 combine like terms

40+20=60 60-30=30

2x+x=3x

now we have

180=3x+30

step 2 subtract 30 from each side

180-30=150

30-30 cancels out

step 3 divide each side by 3

150/3=50

3x/3=x

we're left with

x=50

Now we plug in 50 into x in 2x-30

2*50=100

100-30=70 so we can conclude that

angle B = 70

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value