Question

the angle of a quadrilateral are x degrees, (x+15 degrees) (x+25 degrees) and (x+4) find the angles ​

Answer 1

Step-by-step explanation:

(x)+(x+15)+(x+25)+(x+4)=360

x+x+15+x+25+x+4=360

4x+44=360

4x=360-44

4x=316

x=316/4

x=79

x degrees = 79 degrees

x+15 degrees = 79+15 = 94 degreed

x+25 degrees = 79+25 = 104 degrees

x+4 degrees = 79+4 = 83 degrees

Answer 2

Appropriate Question:

• The angles of a Quadrilateral are x°, (x + 15)°, (x + 25)° and (x + 4)°. Then, find all the angles.

⠀⠀⠀⠀⠀⠀⠀⠀

Given that,

• Angles of the Quadrilateral are x°, (x + 15)°, (x + 25)° and (x + 4)°.

★ Sum of all angles of Quadrilateral is 360° ★

➟ x° + (x + 15)° + (x + 25)° + (x + 4)° = 360°

➟ 4x + 44° = 360°

➟ 4x = 360 – 44°

➟ 4x = 316

➟ x = 316/4

➟ x = 79°

• Substituting the value of ( x = 79° ) —

Hence,

• First angle, x = 79°
• Second angle, (x + 15)° = (79 + 15) = 94°
• Third angle, (x + 25)° = (79 + 25) = 104°
• Fourth angle, (x + 4) = 79 + 4 = 83°

$\rule{250px}{.3ex}$

V E R I F I C A T I O N :

• As we know that, sum of all angles of the Quadrilateral is 360°, (∠a + ∠b + ∠c + ∠d = 360°). So, let's verify :

⇥ ∠a + ∠b + ∠c + ∠d = 360°

⇥ 79° + 94° + 104° + 83° = 360°

⇥ 173° + 187° = 360°

⇥ 360° = 360°⠀⠀⠀⠀⠀ ∴ Hence, Verified!