Question

Find the value of x.
A triangle is shown with 2 congruent sides. One base angle opposite of a congruent side is labeled left parenthesis 5 x right parenthesis degrees. The other base angle opposite of the other congruent side is labeled left parenthesis 3 x plus 28 right parenthesis degrees.
(1 point)
Responses

14
14

20
20

12
12

19

Answer 1

Based on the given information, we can set up the equation:

5x + 3x + 28 = 180

Combining like terms, we get:

8x + 28 = 180

Subtracting 28 from both sides:

8x = 152

Dividing both sides by 8:

x = 19

Therefore, the value of x is 19.