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Math Expert V
Joined: 02 Sep 2009
Posts: 59587
In the triangle above, the measure of the smallest angle is  [#permalink]

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Difficulty:   15% (low)

Question Stats: 84% (00:42) correct 16% (01:22) wrong based on 44 sessions

### HideShow timer Statistics 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 [ 5.97 KiB | Viewed 1648 times ]

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Manager  B
Joined: 06 Dec 2016
Posts: 227
Re: In the triangle above, the measure of the smallest angle is  [#permalink]

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1
y degree is 30 degrees
Since triangle is equal to 180, plug in equation

30 + 7x + 3x = 180
30 + 10 x = 180
10x = 150
x = 15

3x = 3(15) = 45

No need to do any more working out. The answer is B
Intern  B
Joined: 28 May 2017
Posts: 18
Re: In the triangle above, the measure of the smallest angle is  [#permalink]

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1
Ans is b 30 degree

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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Manager  G
Joined: 27 Dec 2016
Posts: 224
Concentration: Marketing, Social Entrepreneurship
GPA: 3.65
WE: Marketing (Education)
Re: In the triangle above, the measure of the smallest angle is  [#permalink]

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Bunuel wrote: 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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Manager  G
Joined: 27 Jan 2016
Posts: 123
Schools: ISB '18
GMAT 1: 700 Q50 V34 Re: In the triangle above, the measure of the smallest angle is  [#permalink]

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y=30
7x+3x=150
x=15
so 3x=45
Intern  B
Joined: 11 Apr 2017
Posts: 38
Schools: Kelley '20
Re: In the triangle above, the measure of the smallest angle is  [#permalink]

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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
Manager  B
Joined: 10 Sep 2019
Posts: 52
Location: India
Concentration: Social Entrepreneurship, Healthcare
GPA: 2.6
WE: Project Management (Non-Profit and Government)
Re: In the triangle above, the measure of the smallest angle is  [#permalink]

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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 Re: In the triangle above, the measure of the smallest angle is   [#permalink] 22 Nov 2019, 00:43
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