Two angles are supplementary when they <span>add up to 180 degrees.
x = </span><span>smaller angle
</span>2x+3 =<span> larger angle
x + 2x + 3 = 180
3x = 180 - 3
3x = 177
x = 177/3
x = 59</span>° ← smaller angle
2x + 3 = 2*59 + 3 = 121° ← larger angle
Answer: first one B/the second one and c/the third one for the next question
Step-by-step explanation:
The lines AB and CD are parallel .
GH is the transversal.
The angles marked 5x-10 and 4x+20 are alternate interior angles.
Alternate Interior Angles are a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal.
When the lines are parallel alternate interior angles are equal.
We can form an equation in x using this property.
5x-10=4x+20
We can solve the equation for x.
For this we bring the x term on one side .To bring x term on same side we subtract 4x both sides
5x-4x-10 =4x-4x+20
Simplifying like terms
x-10=20.
With x we have -10
Adding 10 both sides
x-10+10=20+10
x=30.
Option C is the right answer
The answer to this question is sqrt(2)/2. Invoke the unit circle to derive this expression, or use special triangles and reference triangles.
Answer:
Square 18.
Step-by-step explanation:
First, you subtract 4 from 24, and get 20, which you subtract 2 from to get your answer: 18.
Hope this helps!
