Find All Angles in an Isosceles Triangle with 50° Base Angle

Calculate the remaining angles in the isosceles triangle below.

505050AAACCCBBB

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Step-by-step video solution

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00:00 Determine the angles of the triangle
00:03 In an isosceles triangle (given) the base angles are equal
00:07 Insert the angle value according to the given data
00:11 Determine the sum of the known angles
00:16 The sum of angles in a triangle equals 180
00:20 Subtract the known angles from this sum in order to find the angle:
00:24 This is the solution

Step-by-step written solution

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1

Understand the problem

Calculate the remaining angles in the isosceles triangle below.

505050AAACCCBBB

2

Step-by-step solution

Since we know that the triangle is isosceles, we know that the base angles are equal.

That is:

B=C=50 B=C=50

Now we can calculate the vertex angle.

Since the sum of angles in a triangle is equal to 180 degrees, we will calculate the vertex angle as follows:

A=1805050=80 A=180-50-50=80

Therefore, the values of the angles are 80, 50, and 50.

3

Final Answer

A=80,C=50 A=80,C=50

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

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