Question

Find the value of x for the adjoining figure. Write reason.
Give Neatly Answer Okay​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

Solution :-

From the given figure,

PQR is a triangle

∠P = (2x+2)°

∠Q = x°

∠R = (2x-7)°

We know that

The sum of all the three interior angles of a triangle is 180°

=> ∠P + ∠Q + ∠R = 180°

=> (2x+2)° + x° + (2x-7)° = 180°

=> (2x°+x°+2x°)+(2°-7°) = 180°

=> 5x°-5° = 180°

=> 5x° = 180°+5°

=> 5x° = 185°

=> x° = 185°/5°

=> x° = 37°

Therefore, x° = 37°

Answer :-

The measure of x is 37°

Used Formulae:-

Angle Sum Property:-

The sum of all the three interior angles of a triangle is 180°