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Please help meeee I need help finding x y and z :)

Please help meeee I need help finding x y and z :)-example-1
User Imantha
by
4.7k points

2 Answers

5 votes

Answer:

Hey there!

We see that z is equal to 40, because angles in a triangle add to 180 degrees.

We see that x is equal to 70, because an isosceles triangle has two angles that are congruent to each other, and can be represented using the equation 2x+y=180.

We see that y is equal to 110, because x+y needs to equal 180.

Hope this helps :)

User Aymen Denoub
by
5.3k points
4 votes

Answer:

∠x = 70º, ∠y = 110º, ∠z = 40º

Explanation:

to find ∠z: 180 - (71 + 69) = 40º = ∠z

the smaller triangle is an isosceles triangle, therefore ∠x is equal to the angle on its left.

so 180 - ∠z = 2 x ∠x

180 - 40 = 140 / 2 = 70º = ∠x

the angle to the left of ∠x forms 180º with ∠y.

as that angle is 70º, ∠y = 180 - 70 = 110º

User PVermeer
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5.4k points