Respuesta :

Answer:

Angle B = 24°

Step-by-step explanation:

Given:

  • Angles are supplementary
  • Angle A is 5 times the sum of angle B plus 7.2

that means, Angle A = 5 ( Angle B + 7.2 )

Now,

Let Angle B = x (say)

•.• Angle A = 5 ( x + 7.2 )

  • Supplementary angles are a pair of angles that make sum of 180° .

Therefore, As it is given that the angles are supplementary , the sum of Angle A and Angle B will be equal to 180°.

Angle A + Angle B = 180°

[tex]⇢x + 5(x + 7.2) = 180[/tex]

[tex]⇢x + 5x + 36 = 180[/tex]

[tex]⇢6x = 180 - 36[/tex]

[tex]⇢6x = 144[/tex]

[tex]⇢x = \frac{144}{6} [/tex]

[tex]⇢ \boxed{x = 24}[/tex]

Now, substituting the value of x. . .

  • Angle B = 24°
  • Angle A = 5( 24+ 7.2 ) = 5( 31.2 ) = 156°

Thus, Angle B comes out 24°

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