Calculate All Angles in an Isosceles Triangle with 70° Vertex Angle

Find all the angles of the isosceles triangle below:

707070AAABBBCCC

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Step-by-step video solution

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00:00 Determine the angles of the triangle
00:03 The sum of the angles in a triangle equals 180
00:06 Subtract the known angle from this sum
00:09 This is the sum of the remaining angles
00:12 Divide by 2 given that they are equal (isosceles triangle)
00:16 This is the solution

Step-by-step written solution

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1

Understand the problem

Find all the angles of the isosceles triangle below:

707070AAABBBCCC

2

Step-by-step solution

Let's remember that in an isosceles triangle, the base angles are equal to each other.

In other words:

C=B C=B

We know the vertex angle, which is equal to 70 degrees, and we know that the sum of angles in a triangle is equal to 180 degrees.

Therefore, we can calculate the base angles in the following way:

18070=110 180-70=110

110:2=55 110:2=55

Therefore, the angle values in the triangle are 55, 55, and 70.

3

Final Answer

70, 55, 55

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In a right triangle, the side opposite the right angle is called....?

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