Triangle

the givens are insufficient because despite the figure "tricking" you into assuming RT is a straight line, it doesn't have to be. Picture a break in the figure where RS and ST come together. If that line is "bent," the angle x could be anything. Hope this helps.

Please check the figure attached for explanation. Assume y and z to be the other angles adjacent to x. (x+y+z) will be 180 degrees.

1. The concepts being, equal sides will have equal opposite angles.

2. Adjacent angles on a line sum up to 180 degrees.

3. The sum of all the interior angles of a Quadrilateral 360 degrees.

So, the equation will be,

x + 180-y + 180-z + 90 = 360.

Solve,
x - y - z = -90.

2x - (x+y+z) = -90

2x - 180 = -90

x = 45.

Both the statement are needed to get this answer

enniguy wrote:Please check the figure attached for explanation. Assume y and z to be the other angles adjacent to x. (x+y+z) will be 180 degrees.

1. The concepts being, equal sides will have equal opposite angles.

2. Adjacent angles on a line sum up to 180 degrees.

3. The sum of all the interior angles of a Quadrilateral 360 degrees.

So, the equation will be,

x + 180-y + 180-z + 90 = 360.

Solve,
x - y - z = -90.

2x - (x+y+z) = -90

2x - 180 = -90

x = 45.

Both the statement are needed to get this answer

Perfect. Thank You. OA is C

enniguy wrote:Please check the figure attached for explanation. Assume y and z to be the other angles adjacent to x. (x+y+z) will be 180 degrees.

1. The concepts being, equal sides will have equal opposite angles.

2. Adjacent angles on a line sum up to 180 degrees.

3. The sum of all the interior angles of a Quadrilateral 360 degrees.

So, the equation will be,

x + 180-y + 180-z + 90 = 360.

Solve,
x - y - z = -90.

2x - (x+y+z) = -90

2x - 180 = -90

x = 45.

Both the statement are needed to get this answer

where do you get the 2x in the highlighted statement from? I understand the rest, just cant figure that part out
Thanks