Question

Please help and explain it ty

Answer 1

m∠B = 110°

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

Answer 2

<B = 110

Explanation:

<A + <B + <C+ <D + <E = 540

130+ x-5+ x+30 + 75+ x-35 = 540

Combine like terms

3x+195 = 540

Subtract 195 from each side

3x+195-195 = 540 -195

3x =345

Divide each side by 3

3x/3 = 345/3

x =115

We want to find angle B

B = x-5

115-5

<B = 110