To find the value of x, we need to find the measure of the interior angle formed by the extension of the side of the triangle. Since the exterior angle is 132°, the interior angle is 180° - 132° = 48°.
The interior angle is equal to the sum of the two opposite angles formed by the extension. Let's call these angles a and b.
a + b = 48°
Since the extension creates a linear pair with the adjacent angle, the sum of a and 132° (the exterior angle) is 180°.
a + 132° = 180°
Solving this equation gives us:
a + 132° = 180°
a = 180° - 132°
a = 48°
Substituting this value of a into the first equation:
48° + b = 48°
b = 0°
Therefore, the value of x is 0°.
A side of the triangle below has been extended to form an exterior angle of 132°. Find the value of x..
3 answers
thats wrong bot what's the answer its for a test
Apologies for the confusion. Let's solve the problem correctly.
To find the value of x, we need to consider the triangle and the exterior angle.
The exterior angle is supplementary to the interior angle at the vertex of the triangle. Therefore, the interior angle is 180° - 132° = 48°.
Since the interior angle is formed by the extension of the side of the triangle, it is equal to the sum of the two opposite angles formed by the extension. Let's call these angles a and b.
a + b = 48°
However, we need more information or measurements of the triangle to determine the values of a and b, and subsequently, the value of x.
Please provide any additional information you have regarding the triangle, such as side lengths, angle measurements, or any other relevant details.
To find the value of x, we need to consider the triangle and the exterior angle.
The exterior angle is supplementary to the interior angle at the vertex of the triangle. Therefore, the interior angle is 180° - 132° = 48°.
Since the interior angle is formed by the extension of the side of the triangle, it is equal to the sum of the two opposite angles formed by the extension. Let's call these angles a and b.
a + b = 48°
However, we need more information or measurements of the triangle to determine the values of a and b, and subsequently, the value of x.
Please provide any additional information you have regarding the triangle, such as side lengths, angle measurements, or any other relevant details.