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29 votes
29 votes
Find the values of x and y

Find the values of x and y-example-1
User CrazyBrazilian
by
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1 Answer

19 votes
19 votes

Answer:

x = 35° , y = 85°

Explanation:

(2x+25) = (3x-10) // Reason: Vertical Angles are Congruent (have equal values)

Now we solve this...

2x+25 = 3x-10

25+10 = 3x-2x // Bring alike terms to one side

35 = 3x-2x

35 = x, so x = 35 °

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Now, to find y...

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We know that x is 35°, and we know that the two top angles in the picture are supplementary (meaning that they add up to 180°)

(2x+25) = 70 + 25 = 95

So 180° - 95° = y

y = 85°

User Michela Bonizzi
by
3.0k points