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2 votes
Please help answer this. I really need a detailed answer using Side angle side or SSS thanks!

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Please help answer this. I really need a detailed answer using Side angle side or-example-1
User Hans Derks
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4.6k points

2 Answers

6 votes

Answer: X=20 Y=70

Explanation:

There’s no labels so it might be hard to explain this one otherwise


-We’ll call the point at the top left with y°: A

-the bottom right point with x°: C

-the point in between them with 40°: B

-the bottom left point with the right angle: D


angle DBC = 140° because angles on a straight line sum to 180°

so x must equal 20 because the other angles in an isosceles triangle are equal and 180-140=40 and 40/2=20

90-20=70 so angle ADB=70

meaning that y must equal 70 because 70+40=110 and 180-110=70

User Freemanoid
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4.4k points
4 votes
y = 70 and x = 20. Not sure how to use SAS or SSS for this since it’s not asking for congruency.
First, let’s find the missing angles. We know that 40 degrees + 140 is 180 because the definition of a linear pair, so the vertex angle in the isosceles is 140 degrees.
Because it’s an isosceles, the base angles are congruent. We can do 180 - 140 to get 40, and then divide that by 2 for individual angles, so x = 20!

The other triangle has a right angle, so we can do 90-20to get 70. Add 70and 40 to get 110. Because the triangle interior is always 180 degrees, y = 70. Hope this helps!
User Vulture
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5.3k points