the measure of the angles of a triangle are in th ratio 1:2:3. find the angles
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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°
___________________________
We know that,
C = 3x
C = 3 × 30
C = 90
C = 90°
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