A side of the triangle below has been extended to form an exterior angle of 124°. Find the value of xx.
124°
x°
Answer
Attempt 1 out of 2
To find the value of x, we need to use the property of exterior angles of a triangle, which states that the exterior angle is equal to the sum of the two opposite interior angles.
In this case, the exterior angle is 124°. Let's label the other two interior angles as A and B.
So, A + B = 124
We also know that the sum of angles in a triangle is 180°. So, A + B + x = 180
Substitute the value of A + B from the first equation into the second equation:
124 + x = 180
x = 180 - 124
x = 56
Therefore, the value of x is 56°.