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42 votes
42 votes
Enter the value if x+27

Enter the value if x+27-example-1
User Abacus
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1 Answer

26 votes
26 votes

Answer:

Shown Below

Explanation:

Alright so first off we are going to use the little 67 on that corner. We know that it's a supplementary angle, and supplementary angles add up to 180.

180 - 67 = 113.

Inside angles of a triangle all add up to 180. Using that we can create the equation:

(x + 27) + x + 113 = 180

simplify.

2x + 140 = 180

subtract 140 on both sides.

2x = 40

divide both sides by 2

x = 20

substitute x into the asked equation.

(20 + 27) = 47

47 is your answer.

User Kamel Mili
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3.2k points