Math, asked by nishanthdavid7, 2 months ago

the measure of the angles of a triangle are in th ratio 1:2:3. find the angles​

Answers

Answered by BlackWizard
2

A = 30°

B = 60°

C = 90°

Step-by-step explanation:

GIVEN RATIO

1 : 2 : 3

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TO FIND

Angles

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Let's take the angles

A = 1x

B = 2x

C = 3x

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We know that,

Measure of all angles of a triangle is 180°

A + B + C = 180°

1x + 2x + 3x = 180°

6x = 180°

x = 180° / 6

x = 30°

x = 30°

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We know that,

A = 1x

A = 1 × 30

A = 30

A = 30°

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We know that,

B = 2x

B = 2 × 30

B = 60

B = 60°

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We know that,

C = 3x

C = 3 × 30

C = 90

C = 90°

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