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In a right triangle, the measures of the two smaller angles are (3x+6) and (2x - 1)º. Find the measure of the smallest
angle in the triangle.
A. 170
B. 33°
C. 570
D. 90°

In a right triangle the measures of the two smaller angles are 3x6 and 2x 1º Find the measure of the smallest angle in the triangle A 170 B 33 C 570 D 90 class=

Respuesta :

Answer:

B is the answer

Step-by-step explanation:

Since there is already a 90 degree angle in the right triangle, the other two angles must add up to 90.

[tex]3x + 6 + 2x - 1 = 90[/tex]

[tex]5x + 5 = 90[/tex]

[tex]5x = 85[/tex]

[tex]x = 17[/tex]

Plug 17 into both to find the smaller angle

[tex]3(17) + 6 = 57[/tex]

[tex]2(17) - 1 = 33[/tex]

[tex]33 < 57[/tex]

So 33 is the answer or B

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