Question

The angles of a triangle are (x + 21)°, x° and (2x – 45)°. Find the measure of these angles. *
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Answer 1

The angels of a triangle are x+21 , x, 2x - 45 degree. [ given ]

The sum of three angels of a triangle measures 180 degree.

The measure of each angle?

We take as , ( x +21) + x + (2x - 45 ) =180 °

=> x+21+x+2x - 45 = 180 °

=> x+x+2x +21-45 = 180°

=> 4x -24 =180 °

=> 4x = 180°+24 =204°

=> x = 204°/4=51°

=> x = 51° .

first angle = x+ 21°

= 51°+21° = 72°

Second angle = x = 51°

Third angle = 2x - 45°

= 2× 51°-45°

= 2× 6 °

= 12° .