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

Explanation:

Answer 2

Answer: x= 5

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)`