Question

in angles of the Triangles are(x+21),x and (2x-45), find the value of x​

Answer 1

Answer:

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°.

Step-by-step explanation:

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Answer 2

$\huge \fbox \color {Gold} Answer$

Sum of Angles of triangles is 180

1st side = x+21

2nd side =x

3rd side =2x - 45

Angles of triangles =180

ATQ

$(x + 21) + x + (2x - 45) = 180 \\ 4x + 21 - 45 = 180 \\ 4x - 24 = 180 \\ 4x = 204 \\ x = \frac{204}{4} \\ x = 51$

1st side =51 + 21=72

2nd side = 51

3rd side = (2×51-45)=57

Hence 72 , 51 and 57 are sides of triangles

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