Question

Given m Z1 = x° and m2 = (x +50°.

Find the value of x. Then find mZ1 and m2.
a) x = 20; m Z1 = 20 and m2 = 70
b) x = 20; m Z1 = 65 and m2 = 115
c) x = 65; m Z1 = 65 and m2=115
d) x = 65; m Z1 = 20 and m2 = 70

Answer 1

To find the value of x and the measures of the angles mZ1 and m2, we can use the information given and solve the equation x° = x + 50°. The correct values are x = 20, mZ1 = 20°, and m2 = 70°.

Step-by-step explanation:

To find the value of x, we need to set up an equation using the given angles. We have mZ1 = x° and m2 = (x + 50°). Since mZ1 and m2 are corresponding angles, they are equal.

Therefore, we can write: x° = x + 50°. Solving this equation gives x = 20. So the correct option is a) x = 20.

Now that we know x = 20, we can substitute this value back into the equations to find mZ1 and m2. mZ1 = x° = 20° and m2 = (x + 50°) = (20° + 50°) = 70°.

So the correct option is a) mZ1 = 20 and m2 = 70.