if sum of two smaller angles of a triangle is equal to the greatest angle then find the greatest angle
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Answered by
11
Let the smaller angles be ‘x’ and ‘y’
Let the greatest angle be ‘z’
From the question,
x + y = z {equation 1}
According to Angle Sum Property,
x + y + z = 180
x + y + x + y = 180 {from equation 1}
2x + 2y = 180
2(x + y) = 180
x + y = 180/2
x + y = 90
z = 90 {from equation 1}
Therefore, the greatest angle is 90°
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Answered by
3
Answer:
greater side is 90 degree
Step-by-step explanation:
let the smaller angle =x
so as per the question
x+x+2x=180(angle sum property)
4x=180
x=180/4
x=45
larger angle=2x
=90
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