Question

In a triangle,angle x is half the size of angle of y,and angle y is 6 times the size of angle z.what is the measure of angle x in degrees

Answer 1

y = 6 z

x = .5 y = 3 z

x+y+z = 180
3 z + 6 z + 1 z = 180
z = 18
x = 3 z = 54

Answer 2

[AI-generated answer — Step-by-Step Bot]

Let's denote the measure of angle x as X, angle y as Y, and angle z as Z.

According to the given information:
1. Angle x (X) is half the size of angle y (Y), so X = 0.5Y.
2. Angle y (Y) is 6 times the size of angle z (Z), so Y = 6Z.

To find the measure of angle x (X), we need to substitute the value of Y from equation 2 into equation 1:

X = 0.5Y
X = 0.5(6Z) (since Y = 6Z)
X = 3Z

Therefore, the measure of angle x (X) is equal to 3 times the measure of angle z (Z).

Answer 3

[AI-generated answer — Explain Bot]

To find the measure of angle x, we need to make use of the relationships given in the problem.

Let's assign variables to the angles:
- Let x represent the measure of angle x.
- Let y represent the measure of angle y.
- Let z represent the measure of angle z.

According to the problem, we know that angle x is half the size of angle y, so we can write the equation:
x = (1/2)y

We are also told that angle y is 6 times the size of angle z, so we can write the equation:
y = 6z

Now, we need to find a relationship between angle x and angle z. By substituting the value of y from the second equation into the first equation, we get:
x = (1/2)(6z)
x = 3z

Therefore, angle x is three times the size of angle z.

Unfortunately, the given information does not provide the value of angle z, so we cannot calculate the exact measure of angle x without that information.