9. If one angle of a triangle is equal to the sum of the other two, show that the triangle is
right-angled.
Hint. ZA= ZB+ ZC
ZA+ZAN ZA+ ZB+ ZC =180°
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Step-by-step explanation:
Let the angles of triangle be A , B and C.
A + B + C = 180 --------------(1)
and A = B + C ----------(2)
Substitute (2) in (1)
A + A = 180
2A = 180
A = 90.
Hence triangle is right angled.
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