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Bunuel
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Bunuel

In the triangle above, the measure of the smallest angle is

(A) 15°
(B) 30°
(C) 45°
(D) 55°
(E) 60°


Attachment:
2017-08-25_1042.png

1. \(Y+150 = 180\) (straight line), so Y = 30.
2. For the remaining 2 angles --> \(7X+3X = (180-y)\) --> \(10X = 150\) --> \(X = 15\).
3. Thus other angles are \(7*15 = 105\) and \(3*15 = 45\) degree.

Hence the smallest angle is 30 or Y.
B
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y=30
7x+3x=150
x=15
so 3x=45
answer B
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I think that Ans is b 30 degree
Since,

7x +3x= 150
X= 15

7x = 105
3x= 45

So the reaming angle 180-150= 30

Hence the smallest angle measures 30 degrees
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Sum to 2 interior angles (not adjacent to the exterior angle) is equal to the exterior angle.

=> 7x+3x = 150 => x=15 => y=30

Therefore the smallest angle is 30

Ans B
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