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An exterior angle of triangle of measure 120 degree and one of its interior opposite angle is of measure 75 degree find the measure of the other interior opposite angle?
Most Upvoted Answer
An exterior angle of triangle of measure 120 degree and one of its int...
Let the other interior opposite angle =x
here,x+75=120( by exterior angle property)
x=120-75
Hence,x=45
The measure of other interior opposite angle is 45degree...
here,x+75=120( by exterior angle property)
x=120-75
Hence,x=45
The measure of other interior opposite angle is 45degree...
Community Answer
An exterior angle of triangle of measure 120 degree and one of its int...
Given:
- The exterior angle of a triangle measures 120 degrees.
- One of the interior opposite angles measures 75 degrees.
To find:
- The measure of the other interior opposite angle.
Solution:
In a triangle, the sum of all interior angles is always 180 degrees. We can use this property to find the measure of the other interior opposite angle.
Step 1: Find the measure of the exterior angle
- An exterior angle is formed by extending one side of a triangle.
- The sum of an exterior angle and its corresponding interior angle is always 180 degrees.
- In this case, the measure of the exterior angle is given as 120 degrees.
- So, the measure of the corresponding interior angle is 180 - 120 = 60 degrees.
Step 2: Find the measure of the other interior opposite angle
- We are given that one of the interior opposite angles measures 75 degrees.
- Let's assume the measure of the other interior opposite angle as 'x' degrees.
- According to the property of the sum of interior angles of a triangle, we have the equation:
75 + 60 + x = 180
- Simplifying the equation, we have:
135 + x = 180
x = 180 - 135
x = 45 degrees
Answer:
- The measure of the other interior opposite angle is 45 degrees.
- The exterior angle of a triangle measures 120 degrees.
- One of the interior opposite angles measures 75 degrees.
To find:
- The measure of the other interior opposite angle.
Solution:
In a triangle, the sum of all interior angles is always 180 degrees. We can use this property to find the measure of the other interior opposite angle.
Step 1: Find the measure of the exterior angle
- An exterior angle is formed by extending one side of a triangle.
- The sum of an exterior angle and its corresponding interior angle is always 180 degrees.
- In this case, the measure of the exterior angle is given as 120 degrees.
- So, the measure of the corresponding interior angle is 180 - 120 = 60 degrees.
Step 2: Find the measure of the other interior opposite angle
- We are given that one of the interior opposite angles measures 75 degrees.
- Let's assume the measure of the other interior opposite angle as 'x' degrees.
- According to the property of the sum of interior angles of a triangle, we have the equation:
75 + 60 + x = 180
- Simplifying the equation, we have:
135 + x = 180
x = 180 - 135
x = 45 degrees
Answer:
- The measure of the other interior opposite angle is 45 degrees.
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An exterior angle of triangle of measure 120 degree and one of its interior opposite angle is of measure 75 degree find the measure of the other interior opposite angle?
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An exterior angle of triangle of measure 120 degree and one of its interior opposite angle is of measure 75 degree find the measure of the other interior opposite angle? 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 An exterior angle of triangle of measure 120 degree and one of its interior opposite angle is of measure 75 degree find the measure of the other interior opposite angle? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An exterior angle of triangle of measure 120 degree and one of its interior opposite angle is of measure 75 degree find the measure of the other interior opposite angle?.
An exterior angle of triangle of measure 120 degree and one of its interior opposite angle is of measure 75 degree find the measure of the other interior opposite angle? 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 An exterior angle of triangle of measure 120 degree and one of its interior opposite angle is of measure 75 degree find the measure of the other interior opposite angle? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An exterior angle of triangle of measure 120 degree and one of its interior opposite angle is of measure 75 degree find the measure of the other interior opposite angle?.
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