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An exterior angle of a triangle is of measure 70 and one of its interior opposite angles is of measure 25 . Find the measure of the other interior opposite angle?
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An exterior angle of a triangle is of measure 70 and one of its interi...
Given information:
- Exterior angle of the triangle = 70 degrees
- One interior opposite angle = 25 degrees
Find the measure of the other interior opposite angle:
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.
3. Finding the Other Interior Opposite Angle:
Now, we need to find the measure of the other interior opposite angle.
Since the sum of all interior angles of a triangle is always 180 degrees, we can find the other interior opposite angle by subtracting the sum of the two known angles from 180 degrees.
Let the other interior opposite angle be y degrees.
45 + 25 + y = 180
y = 180 - 70
y = 110 degrees
Therefore, the measure of the other interior opposite angle is 110 degrees.
- Exterior angle of the triangle = 70 degrees
- One interior opposite angle = 25 degrees
Find the measure of the other interior opposite angle:
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.
3. Finding the Other Interior Opposite Angle:
Now, we need to find the measure of the other interior opposite angle.
Since the sum of all interior angles of a triangle is always 180 degrees, we can find the other interior opposite angle by subtracting the sum of the two known angles from 180 degrees.
Let the other interior opposite angle be y degrees.
45 + 25 + y = 180
y = 180 - 70
y = 110 degrees
Therefore, the measure of the other interior opposite angle is 110 degrees.
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An exterior angle of a triangle is of measure 70 and one of its interior opposite angles is of measure 25 . Find the measure of the other interior opposite angle?
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An exterior angle of a triangle is of measure 70 and one of its interior opposite angles is of measure 25 . 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 a triangle is of measure 70 and one of its interior opposite angles is of measure 25 . 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 a triangle is of measure 70 and one of its interior opposite angles is of measure 25 . Find the measure of the other interior opposite angle?.
An exterior angle of a triangle is of measure 70 and one of its interior opposite angles is of measure 25 . 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 a triangle is of measure 70 and one of its interior opposite angles is of measure 25 . 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 a triangle is of measure 70 and one of its interior opposite angles is of measure 25 . Find the measure of the other interior opposite angle?.
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