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CBSE Class 9 Answered

the sum and difference of two angles of a triangle are 128 and 22 respectively. find all angles of triangle.
Asked by Kanhaiya | 07 Sep, 2015, 06:23: PM
answered-by-expert Expert Answer

HI,

Let the three angles of a triangle be A, B and C.

Now, it is given that

A + B = 128 ....(1)

A - B = 22    ...(2)

Adding (1) and (2), we get

2A = 150

A = 75

Now, 75 + B = 128

B = 128 - 75 = 53

A + B + C = 180   ....(Angles of a triangle)

75 + 53 + C = 180

C = 180 - 75 - 53 = 52

Answered by | 07 Sep, 2015, 06:31: PM

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