∠1 and ∠2 are alternate exterior angles where transversal BE crosses parallel lines AC and DF, therefore they are equal. ∠2 and ∠3 are opposite angles of a parallelogram, therefore they are equal.
... ∠1 = ∠2
... 3x -5 = 2x +15 . . . . substitute the given values
... x = 20 . . . . . . . . . . . add 5-2x
The measures of angles 1, 2, and 3 are 2·20+15 = 55 . . . degrees.
Answer:
240
Step-by-step explanation:
! means factorial or to multiply by the previous number down to one so 5!=5*4*3*2*1=120 120*2=240.
The sentence is converted into a mathematical equation will be 3n + 5 = n + n + 1/3. Then the correct option is C.
<h3>What is Algebra?</h3>
The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Five more than three times the number is one-third more than the sum of the number and itself.
Let the number be n.
Then convert the sentence into a mathematical equation. Then the equation will be
3n + 5 = n + n + 1/3
The sentence is converted into a mathematical equation will be 3n + 5 = n + n + 1/3. Then the correct option is C.
The complete question is attached below.
More about the Algebra link is given below.
brainly.com/question/953809
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