Solve for X: Finding Angles 4x and 2x in an Isosceles Triangle

ABC is an isosceles triangle.

A=4x ∢A=4x

B=2x ∢B=2x

Calculate the value of x.

AAABBBCCC4x2x

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Step-by-step video solution

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00:00 Calculate X
00:03 isosceles triangle according to the given data
00:07 in an isosceles triangle, the base angles are equal
00:18 the sum of angles in a triangle equals 180
00:26 let's collect terms and isolate X
00:46 and this is the solution to the question

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1

Understand the problem

ABC is an isosceles triangle.

A=4x ∢A=4x

B=2x ∢B=2x

Calculate the value of x.

AAABBBCCC4x2x

2

Step-by-step solution

As we know that triangle ABC is isosceles.

B=C=2X B=C=2X

It is known that in a triangle the sum of the angles is 180.

Therefore, we can calculate in the following way:

2X+2X+4X=180 2X+2X+4X=180

4X+4X=180 4X+4X=180

8X=180 8X=180

We divide the two sections by 8:

8X8=1808 \frac{8X}{8}=\frac{180}{8}

X=22.5 X=22.5

3

Final Answer

22.5

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Indicates which angle is greater

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