Answer:
∠B = 43°
Step-by-step explanation:
Hello There!
Remember the exterior angle rule: an exterior angle of a triangle is equal to the sum of its opposite interior angles
That being said we can use this equation to solve for x
108 = 3x + 5 + 2x + 3
step 1 combine like terms
3x + 2x = 5x
3 + 5 = 8
now we have 108 = 5x + 8
step 2 subtract 8 from each side
108 - 8 = 100
8 - 8 cancels out
now we have 100 = 5x
step 3 divide each side by 5
100/5=20
5x/5=x
we're left with x = 20
Now we want to find the value of angle B
Knowing the value of x all we have to do is plug in 20 into x for (2x+3)
2(20)+3=angle b
2*20=40
40+3=43
so we can conclude that angle b = 43
