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

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Math Expert
Joined: 02 Sep 2009
Posts: 46296
In the triangle above, the measure of the smallest angle is [#permalink]

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24 Aug 2017, 23:50
00:00

Difficulty:

25% (medium)

Question Stats:

93% (00:32) correct 7% (00:10) wrong based on 59 sessions

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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 1116 times ]

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Joined: 06 Dec 2016
Posts: 251
Re: In the triangle above, the measure of the smallest angle is [#permalink]

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25 Aug 2017, 07:46
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
Joined: 28 May 2017
Posts: 18
Re: In the triangle above, the measure of the smallest angle is [#permalink]

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25 Aug 2017, 08:33
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
Joined: 27 Dec 2016
Posts: 231
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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25 Aug 2017, 10:20
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
Joined: 27 Jan 2016
Posts: 147
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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25 Aug 2017, 19:01
y=30
7x+3x=150
x=15
so 3x=45
Intern
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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26 Aug 2017, 13:49
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
Re: In the triangle above, the measure of the smallest angle is   [#permalink] 26 Aug 2017, 13:49
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