Answer :
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.
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