Question

the angle of the quadrilateral are 90 degree 80 degree 125 degree X degree find the value of x ​

Answer 1

Answer:

X value is 65°

Step-by-step explanation:

the sum of angles in a quadrilateral is 360°

so,A+B+C+D angles =360°

angle A=90°

angle B=80°

Angle C=125°

angle D=x

angle D=A+B+C-360

=90+80+125-360

=295-360

=65

Answer 2

$\huge\underbrace\mathtt\color{pink}{Hola\:Mate}$

Question

The angle of the quadrilateral are 90 degree 80 degree 125 degree X degree find the value of x

Answer : Value of x is 65°.

Given:-

• Angles of quadrilateral are 90°, 80°, 125° and x°.

To find:-

• Value of x.

Solution:-

We know,

Sum of all interior angles of quadrilateral is 360°

So,

⟶ 90° + 80° + 125° + x° = 360°

⟶ 295° + x° = 360°

⟶ x° = 360° - 295°

⟶$\LARGE \fbox\blue{ x = 65° }$

Verification:-

⟶ 90° + 80° + 125° + x° = 360°

Put x = 65°

⟶ 90° + 80° + 125° + 65° = 360°

⟶ 295° + 65° = 360°

⟶ 360° = 360°

$\Large\fbox\red{Hence\: Proved}$

Therefore, Value of x is 65°.

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