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7)An exterior angle of a triangle is of measure 700 and one of its interior opposite angles is of measure
250 . Find the measure of the other interior opposite angle?
? Related: The Triangle and its Properties
Most Upvoted Answer
7)An exterior angle of a triangle is of measure 700 and one of its int...
Given information:
- Exterior angle of the triangle = 70 degrees
- One interior opposite angle = 25 degrees
Explanation:
1. Exterior Angle of a Triangle:
The exterior angle of a triangle is equal to the sum of the two interior opposite angles. In this case, the exterior angle is given as 70 degrees.
2. Interior Opposite Angles:
Let one of the interior opposite angles be x degrees.
From the given information, we know that:
x + 25 = 70
x = 70 - 25
x = 45 degrees
Therefore, one of the interior opposite angles is 45 degrees.
- Exterior angle of the triangle = 70 degrees
- One interior opposite angle = 25 degrees
Explanation:
1. Exterior Angle of a Triangle:
The exterior angle of a triangle is equal to the sum of the two interior opposite angles. In this case, the exterior angle is given as 70 degrees.
2. Interior Opposite Angles:
Let one of the interior opposite angles be x degrees.
From the given information, we know that:
x + 25 = 70
x = 70 - 25
x = 45 degrees
Therefore, one of the interior opposite angles is 45 degrees.
Community Answer
7)An exterior angle of a triangle is of measure 700 and one of its int...
Exterior and Interior Angles of a Triangle
An exterior angle of a triangle is formed when one side of the triangle is extended. The exterior angle and the interior opposite angle are supplementary, meaning they add up to 180 degrees. In this case, we are given that the exterior angle is 70 degrees and one of the interior opposite angles is 25 degrees.
Finding the Measure of the Other Interior Opposite Angle
To find the measure of the other interior opposite angle, we can use the fact that the sum of all interior angles of a triangle is always 180 degrees. We have one interior angle of 25 degrees and the exterior angle of 70 degrees.
So,
Interior angle + Exterior angle = 180 degrees
25 degrees + 70 degrees + Other interior angle = 180 degrees
95 degrees + Other interior angle = 180 degrees
Other interior angle = 180 degrees - 95 degrees
Other interior angle = 85 degrees
Therefore, the measure of the other interior opposite angle is 85 degrees.
In summary, the exterior angle of a triangle and its interior opposite angle are supplementary, meaning they add up to 180 degrees. By using this property and the fact that the sum of all interior angles of a triangle is always 180 degrees, we can find the measure of the other interior opposite angle in this triangle.
An exterior angle of a triangle is formed when one side of the triangle is extended. The exterior angle and the interior opposite angle are supplementary, meaning they add up to 180 degrees. In this case, we are given that the exterior angle is 70 degrees and one of the interior opposite angles is 25 degrees.
Finding the Measure of the Other Interior Opposite Angle
To find the measure of the other interior opposite angle, we can use the fact that the sum of all interior angles of a triangle is always 180 degrees. We have one interior angle of 25 degrees and the exterior angle of 70 degrees.
So,
Interior angle + Exterior angle = 180 degrees
25 degrees + 70 degrees + Other interior angle = 180 degrees
95 degrees + Other interior angle = 180 degrees
Other interior angle = 180 degrees - 95 degrees
Other interior angle = 85 degrees
Therefore, the measure of the other interior opposite angle is 85 degrees.
In summary, the exterior angle of a triangle and its interior opposite angle are supplementary, meaning they add up to 180 degrees. By using this property and the fact that the sum of all interior angles of a triangle is always 180 degrees, we can find the measure of the other interior opposite angle in this triangle.
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7)An exterior angle of a triangle is of measure 700 and one of its interior opposite angles is of measure
250 . Find the measure of the other interior opposite angle? Related: The Triangle and its Properties?
Question Description
7)An exterior angle of a triangle is of measure 700 and one of its interior opposite angles is of measure 250 . Find the measure of the other interior opposite angle? Related: The Triangle and its Properties? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about 7)An exterior angle of a triangle is of measure 700 and one of its interior opposite angles is of measure 250 . Find the measure of the other interior opposite angle? Related: The Triangle and its Properties? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 7)An exterior angle of a triangle is of measure 700 and one of its interior opposite angles is of measure 250 . Find the measure of the other interior opposite angle? Related: The Triangle and its Properties?.
7)An exterior angle of a triangle is of measure 700 and one of its interior opposite angles is of measure 250 . Find the measure of the other interior opposite angle? Related: The Triangle and its Properties? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about 7)An exterior angle of a triangle is of measure 700 and one of its interior opposite angles is of measure 250 . Find the measure of the other interior opposite angle? Related: The Triangle and its Properties? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 7)An exterior angle of a triangle is of measure 700 and one of its interior opposite angles is of measure 250 . Find the measure of the other interior opposite angle? Related: The Triangle and its Properties?.
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250 . Find the measure of the other interior opposite angle? Related: The Triangle and its Properties? theory, EduRev gives you an
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