The angles of a triangle are (x+21),x and (2x-45). Find the value of x.
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We know angle sum property of a triangle is 180°
x+21 + x + (2x-45) = 180°
2x + 21 + 2x - 45 = 180°
4x - 24 = 180°
4(x - 6) = 180°
x - 6 = 180°/4
x - 6= 45
x = 45 + 6
x = 51°
Therefore x = 51°
(x + 21) = 51 + 21 = 72°
(2x - 45) = 2 × 51 - 45 = 102 - 45 = 57°
Angles of triangle are 51° , 57° and 72°.
x+21 + x + (2x-45) = 180°
2x + 21 + 2x - 45 = 180°
4x - 24 = 180°
4(x - 6) = 180°
x - 6 = 180°/4
x - 6= 45
x = 45 + 6
x = 51°
Therefore x = 51°
(x + 21) = 51 + 21 = 72°
(2x - 45) = 2 × 51 - 45 = 102 - 45 = 57°
Angles of triangle are 51° , 57° and 72°.
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