Respuesta :
Answer:
58
Step-by-step explanation:
right triangle is usually 45°45°90°
given angles: 90°and 32°
90+32=122
then 180-122=58°
Taking the sum of the three interior angles of a triangle and the definition of a right triangle, you get that the value of the other angle is 58°.
The right triangle is a geometric figure that is considered as a polygon formed by three sides that form a right angle and two acute angles. That is, a right triangle is one that has an interior angle that is right, that is, it measures 90º.
On the other hand, the sum of the three interior angles of a triangle is equal to 180 °. Being α, β and γ the interior angles of the triangle, then:
α + β + γ= 180°
Being a right angle, whose value is 90 °, and another angle whose value is 32 °, it is replaced:
90° + 32° + γ= 180°
and solving you get:
122° + γ=180°
γ= 180° - 122°
γ= 58°
Then, the value of the other angle is 58°.
Learn more about the sum of the three interior angles of a triangle with this example:
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