The sum of the measure of angle a MB is 180. The measure of angle a is 2Z plus 5. The measure of angle b is one forty five what is the value of z

Answer 1

Let's solve for the value of Z step by step.

Given that the sum of the measure of angle a and angle b is 180 degrees, we can write the equation as:
a + b = 180

Next, we are given that the measure of angle a is 2Z + 5. So we substitute this expression into the equation:
2Z + 5 + b = 180

Now, we're told that the measure of angle b is one forty five, which means b = 145. Substituting this value into the equation:
2Z + 5 + 145 = 180

Combine like terms:
2Z + 150 = 180

Subtract 150 from both sides of the equation:
2Z = 180 - 150
2Z = 30

Divide both sides by 2:
Z = 30/2
Z = 15

Therefore, the value of Z is 15.