Question

The wall at the front entrance to the rock and roll hall of fame and museum in cleveland, ohio, is an isosceles triangle. the triangle has a vertex angle of 102 degrees. what is the measure of the base angles? answer

Answer 1

The 2 slanting sides of this isosceles triangle are of equal length.  Thus, the 2 base angles are equal.  Their measures are (180-102)/2 degrees, or 78/2 degrees, or 39 degrees each.

Answer 2

The measure of the base angles is 39° respectively.

An Isosceles triangle is a triangle that has two equal sides.

Note: The base angle of an isosceles triangle is equal.

From the question,

The sum of the angle in a triangle is 180°.

 

⇒ a+b+c = 180°............... Equation 1

Given:

• a = 102°
• b = c = x =  base angle of the isosceles triangle.

Substitute these values into the equation.

• 102+x+x = 180
• 102+2x=180

Solve for x.

• 2x = 180-102
• 2x = 78
• x = 78/2
• x = 39°

Hence, the measure of the base angles is 39° respectively.

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