in triangle ABC , if angle A : angle B:angle C=2:4:4 then find the measure of angle A ,angle B and angle C
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The sum of angles :— 2x + 4x + 4x = 180°
10x = 180°
x = 18°
Now, putting x= 18° for A=2x , B=4x and C=4x.
A= 2 X 18° = 36° and B = C = 4 X 18° = 72°.
And if you will add A, B and C you will get 180° which shows that it is a triangle.
Hope this helps!
Answered by
1
Answer:
total measure of interior angles of a triangle=180
2x+4x+4x=180
10x=180
x=180/10
x=18
Angle A= 36 B=72 C=72 (Multiply 18 with the ratios)
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