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In the figure to the right, the angles A, B, C of the triangle are in

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In the figure to the right, the angles A, B, C of the triangle are in [#permalink]

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New post 14 Oct 2017, 09:23
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A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

85% (00:36) correct 15% (01:09) wrong based on 34 sessions

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In the figure below, the angles A, B, C of the triangle are in the ratio 5:12:13. What is the measure of angle A?

(A) 15
(B) 27
(C) 30
(D) 34
(E) 40
[Reveal] Spoiler: OA

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Re: In the figure to the right, the angles A, B, C of the triangle are in [#permalink]

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New post 14 Oct 2017, 09:35
The answer is c .

angle a + angle b + angle c = 180

Let us consider angle a as 5x , angle b as 12x and angle c as 13x .

5x+12x+13x = 180
x=6

angle a = 5*6 = 30
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Re: In the figure to the right, the angles A, B, C of the triangle are in [#permalink]

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New post 15 Oct 2017, 04:50
Let the angles of the triangle be 5x, 12x and 13x
Sum=5x + 12x + 13x = 30x
30x=180 because sum of interior angles of a triangle must be 180 deg.
x=6
Angle A=5x=30 deg.
Answer C.
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Re: In the figure to the right, the angles A, B, C of the triangle are in   [#permalink] 15 Oct 2017, 04:50
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