Question

Find the value of x (5x+12) (3x+8) a 10 b 15 c 20 d 25

Answer 1

Answer: The correct option is C.

Explanation:

In the given figure we can say that the triangle ABC is an isosceles triangle, because two sides AB and AC of the triangle are same.

In a isosceles triangle the angles corresponding to the same sides are equal. Therefore,

$\angle ABC =\angle ACB=(3x+8)^{\circ}$

It is noticed that angle ABC and exterior angle B lies on a straight line it means they are supplementary angles and their sum is 180 degree.

$(5x+12)+(3x+8)=180$

Combine like terms.

$8x+20=180$

Subtract both sides by 20.

$8x=160$

Divide both sides by 8.

$x=20$

The value of x is 20. Therefore the correct option is C.

Answer 2

(5x+12)+(3x+8)=180 combine likes terms 5x+3x=8x 12+8=20 rewrite
8x+20=180 subtract 20 from both sides 180-20=160 rewrite 8x=160 then divide 8 from both sides 160/8=20 rewrite X=20, so C is your answer
Hope this helps have a lovely nite, and a good Friday and good week and good year!!! Good luck in school!