Answer:
1st angle = 94°
2nd angle = 47°
3rd angle = 39°
Step-by-step explanation:
Let 2x be the first angle, let x be the second angle, and let x-8 be the third angle.
The sum of the measures of the angles of a triangle add to 180°, so the equation would be (2x)+(x)+(x-8)=180
First, combine like terms - 4x-8=180
Next, add 8 to both sides - 4x=188
Then, to get x by itself, divide both sides by 4 - x=47
Finally, plug in 47 to find the measures of each angle:
2(47)=94° - 1st angle, 47° - 2nd angle, 47-8=39°
All three angle measures should add to 180°
Answer:the measure of the first angle is 94 degrees
the measure of the second angle is 47 degrees
Let z represent the measure of the third angle is 39 degrees
Step-by-step explanation:
Let x represent the measure of the first angle.
Let y represent the measure of the second angle.
Let z represent the measure of the third angle.
The measure of the first angle is twice the measure of the second angle. This means that
x = 2y
The measure of the third angle is 8° less that the measure of the second angle. This means that
z = y - 8
that the sum of the measures of the three angles of a triangle is 180°. This means that
x + y + z = 180 - - - - - - - - -1
Substituting x = 2y and z = y - 8 into equation 1, it becomes
2y + y + y - 8 = 180
4y = 180 + 8 = 188
y = 188/4 = 47
x = 2y = 2 × 47 = 94 degrees
z = y - 8 = 47 - 8 = 39 degrees.
