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Angel sum theorem PLEASE HELP

Angel sum theorem PLEASE HELP-example-1
User Mcastle
by
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1 Answer

6 votes

Answer:

y=90 degrees

Explanation:

x+y+70=180 degrees ==> these three angles make up a triangle, and the

the total sum of angles in a triangle is 180 degrees

Notice that y is on a straight line?

Straight lines are 180-degree angles called straight angles.

Hence:

(180-y)+x+70=180 ==> these three angles also make up a triangle, and the

the total sum of angles in a triangle is 180 degrees

180-y+x+70=x+y+70 ==> since both expressions equal 180, they both are

equal to each other

180-y+x+70 + y = x+y+70 + y ==> add y on both sides to isolate y to one side

180 - y + y + x + 70 = x + y + y + 70 ==> simplify

180 + x + 70 = x + 2y + 70

180+x+70 - x = x+2y+70 - x ==> subtract x on both sides to eliminate x

180 + x - x + 70 = x - x + 2y + 70 ==> simplify

180 + 70 = 2y + 70

180 + 70 - 70 = 2y + 70 - 70 ==> subtract both sides by 70 to simplify the equation

180 = 2y

y = 180/2

y = 90 degrees

User Ahmad Alkhatib
by
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