SSC MTS Model Paper 5

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Question : 37 of 148

Marks: +1, -0

Two angles of a triangle are

1/2

radian and

1/3

radian. Find the value of third angle in degree.

(\Take \π=22/7)

132°
132 $3°/11$
132 $1°/11$
140°

Solution:

Value of 1 radian

= { 180 °} /{ \π}

( { 1 }/ { 2 } + { 1 }/ { 3 } )

radian

{ 180 °}/ { \ { 22 }/{ 7 } } × { 5 } /{ 6 }

= { 180° } /{ 22 } ×7 × { 5 }/ { 6 } = ( { 525 } /{ 11 } )°

∴ Value of 3rd angle

= 180 ° - { 525 ° }/ { 11 } = { 1455 } /{ 11 } = 132 { 3 °} /{ 11 }

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