In triangle GHJ, GH=32, HJ=63, and m<G=125. To the nearest then, what is <J?
sinG/g = sinJ/j
sinJ = sin(125)/63*36
To find the measure of angle J, we can use the fact that the sum of the angles in a triangle is 180 degrees.
Step 1: Find the measure of angle H:
Since we know that angle G = 125 degrees, we can subtract this from 180 degrees to find angle H:
H = 180 - G
H = 180 - 125
H = 55 degrees
Step 2: Find the measure of angle J:
Since the sum of the angles in a triangle is 180 degrees, we can subtract the measures of angles G and H from 180 to find angle J:
J = 180 - G - H
J = 180 - 125 - 55
J = 180 - 180
J = 0 degrees
However, a triangle cannot have an angle measure of 0 degrees. It seems there might be an error in the given measurements or information. Please double-check the information provided.
To find the measure of angle J in triangle GHJ, we can use the fact that the sum of the angles in a triangle is always 180 degrees.
First, let's find the measure of angle G:
m<G = 125 degrees
Next, we can find the measure of angle H using the fact that the sum of the angles in a triangle is 180 degrees:
m<H = 180 - (m<G + m<J)
m<H = 180 - (125 + m<J)
m<H = 180 - 125 - m<J
m<H = 55 - m<J
Now, we have the measures of angles G (125 degrees) and H (55 - m<J degrees). To find the measure of angle J, we can subtract the sum of angles G and H from 180 degrees:
m<J = 180 - (m<G + m<H)
m<J = 180 - (125 + (55 - m<J))
m<J = 180 - 125 - 55 + m<J
m<J = 180 - 180 + m<J
Simplifying, we get:
m<J = m<J
Since the equation m<J = m<J holds true, it means that the measure of angle J can be any value. Therefore, we cannot determine the exact measure of angle J based on the given information.