Question
In the given figure, the side of has been produced on the left-hand side from to and on the right -hand side from to . if and , find the measure of each angle of the triangle.
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Text solutionVerified
From the figure we know that and form a linear pair of angles
So we get
By substituting the values
On further calculation
By subtraction
From the figure we know that and form a linear pair of angles
So we get
By substituting the values
On further calculation
By subtraction
We know that the sum of all the angles in a triangle is .
So we can write it as
By substituting the values
On further calculation
By subtraction
Therefore, the measure of each angle of the triangle is and .
So we get
By substituting the values
On further calculation
By subtraction
From the figure we know that and form a linear pair of angles
So we get
By substituting the values
On further calculation
By subtraction
We know that the sum of all the angles in a triangle is .
So we can write it as
By substituting the values
On further calculation
By subtraction
Therefore, the measure of each angle of the triangle is and .
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Question Text | In the given figure, the side of has been produced on the left-hand side from to and on the right -hand side from to . if and , find the measure of each angle of the triangle. |
Answer Type | Text solution:1 |
Upvotes | 150 |