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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: 59587
In the triangle above, the measure of the smallest angle is  [#permalink]

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24 Aug 2017, 23:50
00:00

Difficulty:

15% (low)

Question Stats:

84% (00:42) correct 16% (01:22) wrong based on 44 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 1648 times ]

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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
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Joined: 28 May 2017
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Re: In the triangle above, the measure of the smallest angle is  [#permalink]

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25 Aug 2017, 08:33
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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Concentration: Marketing, Social Entrepreneurship
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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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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
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Joined: 11 Apr 2017
Posts: 38
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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
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Re: In the triangle above, the measure of the smallest angle is  [#permalink]

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22 Nov 2019, 00:43
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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