Question

What is the value for x? Enter your answer in the box. x = An isosceles triangle A B C with vertical base A C and vertex B is in right side of the base. Side A B and B C are labeled with single tick mark. All the three angles are labeled. Base angles C A B is labeled as 73 degrees and angle A C B is labeled as left parenthesis 8 y minus 7 right parenthesis degrees. The angle A B C is labeled left parenthesis 6 x plus 4 right parenthesis degrees.

Answer 1

Answer:  x= 5

Step-by-step explanation:

Here, An isosceles triangle A B C with vertical base A C and vertex B is in right side of the base. Side A B and B C are labeled with single tick mark.

Therefore, BA= BC ⇒ $\angle A= \angle C$

And, All the three angles are labeled. Base angles C A B is labeled as 73 degrees and angle A C B is labeled as left parenthesis 8 y minus 7 right parenthesis degrees.

Therefore, $\angle A= 73^{\circ}$, $\angle B= (6x+4)^{\circ}$, $\angle C= (8y-7)^{\circ}$

Since, By the property of triangle,

$\angle A+\angle B+\angle C=180^{\circ}$

$73^{\circ}+\angle B+73^{\circ}=180^{\circ}$ ( because,  $\angle A= \angle C$)

$146^{\circ}+(6x+4)^{\circ}=180^{\circ}$

$(6x+4)^{\circ}=180^{\circ}-146^{\circ}$

$(6x+4)^{\circ}=34^{\circ}$

$x= 5^{\circ}$

Answer 2

Answer: x=5

Step-by-step explanation: