Question
A side of a triangle below has been extended to for an exterior angle of 161° find the value of X
46 degrees
46 degrees
Answers
GPT 3.5
To find the value of x, we need to use the fact that the exterior angle of a triangle is equal to the sum of the two remote interior angles.
Let the angle next to x be y. Therefore, the sum of x and y is equal to x + y = 161°.
The interior angle of a triangle is equal to 180° - the exterior angle. So, we can find y by subtracting 161° from 180°: y = 180° - 161° = 19°.
Now, we have x + y = 161°, which can be rewritten as x + 19° = 161°. Solving for x, we get:
x + 19° = 161°
x = 161° - 19°
x = 142°
Therefore, the value of x is 142 degrees.
Let the angle next to x be y. Therefore, the sum of x and y is equal to x + y = 161°.
The interior angle of a triangle is equal to 180° - the exterior angle. So, we can find y by subtracting 161° from 180°: y = 180° - 161° = 19°.
Now, we have x + y = 161°, which can be rewritten as x + 19° = 161°. Solving for x, we get:
x + 19° = 161°
x = 161° - 19°
x = 142°
Therefore, the value of x is 142 degrees.