Question

Determine the value of x for which all b if m23 = 80 - x and m27 = 90 - 2x.

a) 6
b) 12
c) 18
d) 24

Answer 1

Based on the given equations m23 = 80 - x and m27 = 90 - 2x and solving for x, we get x = 10. However, this solution is not one of the provided options, which may imply missing information or a typo.

Step-by-step explanation:

The question asks to find the value of x given that m23 = 80 - x and m27 = 90 - 2x. We can solve this problem using simultaneous equations. Here are the steps:

1. Set the two equations equal to each other because they both represent the measurement of angles in terms of x: 80 - x = 90 - 2x.
2. Simplify and solve the equation for x: x = 90 - 80 = 10.

This solution, however, is not listed in the options provided (a, b, c, d). This could mean that there is a typo, additional context that is missing, or some other information that affects the equations given. Therefore, with the information provided, the answer is not determinable.