Question

If x:y: z=5\ : 4 :6 , then the smallest of these angles has a measure of

Answer 1

Answer:

48 degrees

Step-by-step explanation:

Let x be 5a

Y be 4a

Z be 6a

Then x+y+z=180

Or, 5a+4a+6a=180

Or, 15a=180

Or, a=12 degree

The smallest angel is y=4a=48 degrees

Answer 2

$\bf \huge {\underline {\underline \red{QuEsTiOn}}}$

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If x : y : z =5 : 4 : 6 , then find the measure of smallest of these angle.

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$\bf \huge {\underline {\underline \red{AnSwEr}}}$

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ɠı۷ɛŋ

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• Ratio of angles = x : y : z =5 : 4 : 6

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Tօ ʄɨռɖ

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• Measure of smallest angle

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sօʟʊȶɨօռ

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Let ∠x be 5x , ∠y be 4x and ∠z be 6x

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According to question,

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➨ x + y + z = 180° [ Straight angle ]

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➨ 5x + 4x + 6x = 180°

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➨ 15x = 180°

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➨ x = 180°/15

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➨ x = 12°

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Therefore, angles are :-

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☞5x = 5 × 12 = 60°

☞4x = 4 × 12 = 48°

☞6x = 6 × 12 = 72°