Question
A side of the triangle below has been %0D%0Aextended to for an exterior angle of %0D%0A161°. Find the value of x.
D.19
E. 46
F.
D.19
E. 46
F.
Answers
GPT 3.5
76
To find the value of x, we need to first recognize that the sum of the interior angles of a triangle is always 180 degrees.
Since the exterior angle is 161 degrees, the corresponding interior angle is 180 - 161 = 19 degrees.
Now, we know that the sum of the interior angles of the triangle is x + 70 + 19 = 180.
Therefore, x + 89 = 180.
Subtracting 89 from both sides, we get:
x = 180 - 89
x = 91
Therefore, the value of x is 91 degrees.
So, the answer is not given in the options.
To find the value of x, we need to first recognize that the sum of the interior angles of a triangle is always 180 degrees.
Since the exterior angle is 161 degrees, the corresponding interior angle is 180 - 161 = 19 degrees.
Now, we know that the sum of the interior angles of the triangle is x + 70 + 19 = 180.
Therefore, x + 89 = 180.
Subtracting 89 from both sides, we get:
x = 180 - 89
x = 91
Therefore, the value of x is 91 degrees.
So, the answer is not given in the options.
D. 19
E. 46
F. 134
E. 46
F. 134
GPT 3.5
Given that the exterior angle of a triangle is \(161^\circ\) and an interior angle of \(19^\circ\), we can find the value of x.
The sum of the interior angles of a triangle is always \(180^\circ\). Thus, we can set up the equation:
\[
x + 70 + 19 = 180
\]
Solving for x, we get:
\[
x + 89 = 180
\]
\[
x = 180 - 89
\]
\[
x = 91
\]
The value of x is \(91^\circ\), which does not match any of the options given (D. 19, E. 46, F. 134).
The sum of the interior angles of a triangle is always \(180^\circ\). Thus, we can set up the equation:
\[
x + 70 + 19 = 180
\]
Solving for x, we get:
\[
x + 89 = 180
\]
\[
x = 180 - 89
\]
\[
x = 91
\]
The value of x is \(91^\circ\), which does not match any of the options given (D. 19, E. 46, F. 134).