Question

Line segment RS is congruent to Line segment ST. Angle RST= 7x-54 and Angle STU= 8x. Can you solve for X?

Answer 1

got pic?

Answer 2

yes, one second.

Answer 3

well

let us notice that \(\large \overline{RS}\cong \overline{ST}\)

that means, that, the triangle made by RST, is an "isosceles triangle"

Answer 4

now.. notice the properties of an isosceles triangle -> http://www.mathsisfun.com/definitions/isosceles-triangle.html

any ideas on what angle RTS is?

Answer 5

68 degrees

Answer 6

?

Answer 7

well... not quite... lemme draw it some

Answer 8

ok thanks

Answer 9

the two angles, made by RT and ST at the bottom of the triangle, are equal to each other
are the same, because the sides, RS and ST are congruent or equal

Answer 10

how much is say... the internal angle RTS?

well, let's see