Question

Find the unknown angle measure

Answer 1

Answer:

49°

Step-by-step explanation:

"According to the Law of Sines, the ratio of the sines of each angle divided by the length of the opposite side are all equal. This helps you to find the sides of the triangle. Add the two angles together and subtract the sum from 180 degrees to find the third angle."

You take 59° and sum it with 72°, that gives you 131°.

Afterwards substract 131° from 180° and the result is 49°.

( 59 + 72 = 131)

( 180 - 131 = 49 ).

If you want to verify your answer, sum all of the angles together and it's supposed to give you 180°.

( 59° + 72° + 49° = 180° )

Answer 2

Answer:

Step-by-step explanation:

The sum of the interior angles of any triangle is 180 degrees.

Thus, 59 degrees + 72 degrees + x = 180 degrees, or

131 degrees + x = 180 degrees.

Subtracting 131 degrees from boths sides isolates x:

x = (180 - 131) degrees, or

x = 49 degrees

x and y are "straight angles;" their sum must be 180 degrees.  Thus, y = (180 - 49) degrees, or y = 131 degrees.

Similarly, w + 72 degrees must add up to 180 degrees, so w = 108 degrees.