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In an isosceles triangle ,the base angle are equal . the vertex angle is 40 degree what are the base angle of the triangle remember the sum of 3 angles of a triangle is 180?
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In an isosceles triangle ,the base angle are equal . the vertex angle ...
Base Angles of an Isosceles Triangle
An isosceles triangle is a triangle with two sides of equal length. In an isosceles triangle, the base angles (angles opposite the equal sides) are also equal. Given that the vertex angle of the triangle is 40 degrees, we can find the measure of the base angles using the fact that the sum of the angles in a triangle is always 180 degrees.
Step 1: Find the sum of the base angles
Since the base angles of an isosceles triangle are equal, let's denote each base angle as x. Therefore, the sum of the two base angles is 2x.
Step 2: Use the sum of angles property
According to the sum of angles property of a triangle, the sum of all three angles in a triangle is 180 degrees. Therefore, we can write the equation as:
2x + 40 = 180
Step 3: Solve for x
Now, we can solve for x by subtracting 40 from both sides:
2x = 180 - 40
2x = 140
x = 70
Step 4: Determine the base angles
Since each base angle is denoted as x, both base angles are equal to 70 degrees.
Therefore, in an isosceles triangle with a vertex angle of 40 degrees, the base angles are each 70 degrees.
An isosceles triangle is a triangle with two sides of equal length. In an isosceles triangle, the base angles (angles opposite the equal sides) are also equal. Given that the vertex angle of the triangle is 40 degrees, we can find the measure of the base angles using the fact that the sum of the angles in a triangle is always 180 degrees.
Step 1: Find the sum of the base angles
Since the base angles of an isosceles triangle are equal, let's denote each base angle as x. Therefore, the sum of the two base angles is 2x.
Step 2: Use the sum of angles property
According to the sum of angles property of a triangle, the sum of all three angles in a triangle is 180 degrees. Therefore, we can write the equation as:
2x + 40 = 180
Step 3: Solve for x
Now, we can solve for x by subtracting 40 from both sides:
2x = 180 - 40
2x = 140
x = 70
Step 4: Determine the base angles
Since each base angle is denoted as x, both base angles are equal to 70 degrees.
Therefore, in an isosceles triangle with a vertex angle of 40 degrees, the base angles are each 70 degrees.
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In an isosceles triangle ,the base angle are equal . the vertex angle is 40 degree what are the base angle of the triangle remember the sum of 3 angles of a triangle is 180?
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In an isosceles triangle ,the base angle are equal . the vertex angle is 40 degree what are the base angle of the triangle remember the sum of 3 angles of a triangle is 180? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about In an isosceles triangle ,the base angle are equal . the vertex angle is 40 degree what are the base angle of the triangle remember the sum of 3 angles of a triangle is 180? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In an isosceles triangle ,the base angle are equal . the vertex angle is 40 degree what are the base angle of the triangle remember the sum of 3 angles of a triangle is 180?.
In an isosceles triangle ,the base angle are equal . the vertex angle is 40 degree what are the base angle of the triangle remember the sum of 3 angles of a triangle is 180? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about In an isosceles triangle ,the base angle are equal . the vertex angle is 40 degree what are the base angle of the triangle remember the sum of 3 angles of a triangle is 180? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In an isosceles triangle ,the base angle are equal . the vertex angle is 40 degree what are the base angle of the triangle remember the sum of 3 angles of a triangle is 180?.
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