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If one angle of triangle is 130 degree. Find the angle between the bisector of others two angles?
Most Upvoted Answer
If one angle of triangle is 130 degree. Find the angle between the bis...
By making a isoscele triangle :
if one angle is 130 so other two will be 25 and 25 because in a isoscele triangle opposite sides are equal:
130 + 25 +25 = 180(angle sum property):
180=180.
other two sides are 25 and 25 ANS.
if one angle is 130 so other two will be 25 and 25 because in a isoscele triangle opposite sides are equal:
130 + 25 +25 = 180(angle sum property):
180=180.
other two sides are 25 and 25 ANS.
Community Answer
If one angle of triangle is 130 degree. Find the angle between the bis...
Angle between Bisector of the Other Two Angles in a Triangle
To find the angle between the bisector of the other two angles in a triangle, we can use the angle bisector theorem.
Given Information
- One angle of the triangle is 130 degrees.
Angle Bisector Theorem
The angle bisector theorem states that in a triangle, the angle bisector divides the opposite side into two segments that are proportional to the other two sides of the triangle.
Steps to Find the Angle
1. Let's assume the other two angles of the triangle are A and B.
2. Given that one angle is 130 degrees, let's denote it as angle C.
3. Using the triangle angle sum property, we know that the sum of all angles in a triangle is 180 degrees. Therefore, angle A + angle B + angle C = 180 degrees.
4. We can substitute the given angle C = 130 degrees into the equation: angle A + angle B + 130 = 180.
5. Simplifying the equation, we get angle A + angle B = 50 degrees.
6. Since the angle bisector divides the opposite side proportionally, the angle between the bisectors of angles A and B will be half of the sum of angles A and B, which is 25 degrees.
Therefore, the angle between the bisector of the other two angles in the triangle is 25 degrees.
To find the angle between the bisector of the other two angles in a triangle, we can use the angle bisector theorem.
Given Information
- One angle of the triangle is 130 degrees.
Angle Bisector Theorem
The angle bisector theorem states that in a triangle, the angle bisector divides the opposite side into two segments that are proportional to the other two sides of the triangle.
Steps to Find the Angle
1. Let's assume the other two angles of the triangle are A and B.
2. Given that one angle is 130 degrees, let's denote it as angle C.
3. Using the triangle angle sum property, we know that the sum of all angles in a triangle is 180 degrees. Therefore, angle A + angle B + angle C = 180 degrees.
4. We can substitute the given angle C = 130 degrees into the equation: angle A + angle B + 130 = 180.
5. Simplifying the equation, we get angle A + angle B = 50 degrees.
6. Since the angle bisector divides the opposite side proportionally, the angle between the bisectors of angles A and B will be half of the sum of angles A and B, which is 25 degrees.
Therefore, the angle between the bisector of the other two angles in the triangle is 25 degrees.
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If one angle of triangle is 130 degree. Find the angle between the bisector of others two angles? for Verbal 2025 is part of Verbal preparation. The Question and answers have been prepared according to the Verbal exam syllabus. Information about If one angle of triangle is 130 degree. Find the angle between the bisector of others two angles? covers all topics & solutions for Verbal 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If one angle of triangle is 130 degree. Find the angle between the bisector of others two angles?.
If one angle of triangle is 130 degree. Find the angle between the bisector of others two angles? for Verbal 2025 is part of Verbal preparation. The Question and answers have been prepared according to the Verbal exam syllabus. Information about If one angle of triangle is 130 degree. Find the angle between the bisector of others two angles? covers all topics & solutions for Verbal 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If one angle of triangle is 130 degree. Find the angle between the bisector of others two angles?.
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