Respuesta :
The sum of the interior angles of a triangle is always 180º:
∠D + 122º + 32º = 180º
∠D + 154º = 180º
∠D = 180 - 154º
∠D = 26º
Answer:
∠D = 26°
Step-by-step explanation:
Hint: The three interior angles of a triangle will always have a sum of 180°. A triangle cannot have an individual angle measure of 180°, because then the other two angles would not exist (180°+0°+0°). The three angles of a triangle need to combine to 180°.
The sum of the angle measures of a triangle is 180°. So, we write:
m∠D + m∠E + m∠F = 180°
m∠D + 32° + 122° = 180°
m∠D + 154° = 180°
m∠D = 26°
So, we can conclude that:
the measure of ∠D = 26°