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In the isosceles triangle ABC
AB=AC
angle B = (3x 32)º
angle C =(87-2x)"
Work out the value
of x.

Sagot :

Thebecksidn

Answer:

x = 4.5

Step-by-step explanation:

Angle B = angle C because it is an isosceles triangle.

3x32 = 87-2x

96 = 87-2x

reduce:

9 = 2x

x = 4.5

An isosceles triangle is one with two equal-length sides. The value of x is 11.

What is an isosceles triangle?

An isosceles triangle is one with two equal-length sides. It is sometimes stated as having exactly two equal-length sides, and sometimes as having at least two equal-length sides, with the latter form containing the equilateral triangle as a particular case.

Since in an isosceles triangle, the angle made by the equal sides and the base are equal, therefore, we can write,

∠B = ∠C

3x + 32 = 87 - 2x

3x + 2x = 87 - 32

5x = 55

x = 11

Hence, the value of x is 11.

Learn more about Isosceles Triangle:

https://brainly.com/question/2456591

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