Angles
Solve for x and then find the measurement of ∠B.
As you can see in the figure, angle a and b are corresponding angles and they have the same measurements. To solve for the value of x, equate the two angle measurement to each other and simplify.
Given:
Solution:
- 5x - 5 = 3x + 13
- 5x - 3x = 5 + 13
- 2x = 18
- x = 18/2
- x = 9
The value of x is 9. To determine the value of b, substitute the value of x to the angle measurement of b and simplify.
Given:
Proving that angle a and b have the same measurements:
- 5x - 5 = 3x + 13
- 5(9) - 5 = 3(9) + 13
- 45 - 5 = 27 + 13
- 40 = 40
Answer:
- Therefore, the value of b is 40.
Wxndy~~
