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Two angles are supplementary. If angle A is five times the sum of the angle B plus 7. 2, what is angle B

1 Answer

8 votes

Answer:

Angle B = 24°

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°


⇢x + 5(x + 7.2) = 180


⇢x + 5x + 36 = 180


⇢6x = 180 - 36


⇢6x = 144


⇢x = (144)/(6)


⇢ \boxed{x = 24}

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°

User Jbu
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