Calculate All Angles in an Isosceles Triangle with 50° Angle

Find all the angles of the isosceles triangle using the data in the figure.

505050AAACCCBBB

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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)
00:15 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 using the data in the figure.

505050AAACCCBBB

2

Step-by-step solution

In an isosceles triangle, the base angles are equal to each other, meaning:

B=C B=C

Since we are given angle A, we can calculate the base angles as follows:

Let's remember that the sum of angles in a triangle is equal to 180 degrees.

18050=130 180-50=130

130:2=65 130:2=65

B=C=65 B=C=65

3

Final Answer

B=65,C=65 B=65,C=65

Practice Quiz

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

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