To find the value of x, we first need to determine the internal angle at the vertex where the exterior angle of 74° is formed. Since the internal angle and the exterior angle at a vertex form a linear pair, we can subtract the exterior angle (74°) from 180° to find the internal angle:
Internal angle = 180° - 74°
Internal angle = 106°
Next, we know that the sum of the internal angles of a triangle is always 180°. Therefore, we can set up the equation:
x + 24° + 106° = 180°
x = 180° - 24° - 106°
x = 50°
Therefore, the value of x is 50°.
A side of the triangle below has been extended to form an exterior angle of 74°. Find the value of xx.
24°
74°
x°
Answer
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