A figure containing angle, V, W, X∠VWX is dilated by a scale factor of one third

Question

3
1
​
to form a new figure which contains angle, V, prime, W, prime, X, prime∠V
′
W
′
X
′
. angle, V, prime, W, prime, X, prime∠V
′
W
′
X
′
measures 119, degrees119
∘
. What is the measure of angle, V, W, X∠VWX?

Answer 1

To find the measure of angle VWX, we can use the fact that the scale factor of the dilation is 1/3.

Since the new figure is a dilation of the original figure, the measure of angle V'W'X' is 1/3 times the measure of angle VWX.

Therefore, we can set up the following equation:

1/3 * measure of angle VWX = 119 degrees

To solve for the measure of angle VWX, we can multiply both sides of the equation by 3:

measure of angle VWX = 119 degrees * 3

measure of angle VWX = 357 degrees

So, the measure of angle VWX is 357 degrees.