Answer:
m∠B = 110°
Step-by-step explanation:
It tells you that all the terms inside the shape equals to 540.
130+(x-5)+(x+30)+75+(x-35)=540
Combine like terms:
130+x-5+x+30+75+x-35=540
3x+130-5+30+75-35=540
Combine like terms... again:
3x+130-5+30+75-35=540
3x+195=540
Now, you subtract the 195 from 540 so that the variable is alone on one side. 540 - 195 = 345
3x=345
To find the value of x, you have to divide:
345/3x = 115
But, since it asks for angle B, we have to plug in 115 in the value of x to get the degree:
m∠B = (x-5)
m∠B = ((115)-5)
m∠B = 110
