Question

In the diagram below of triangle UVW, X is a midpoint of UV and Y is a midpoint

Answer 1

Step-by-step explanation:

Given: X is midpoint of UV and Y is midpoint of VW.

$\therefore XY || UW$

(By mid-point theorem)

$\therefore \angle XYV \cong \angle UWY\\.. (corresponding\: \angle 's) \\\therefore m\angle XYV = m\angle UWY\\\therefore 98 - 6x = 63- x\\\therefore 98 - 63= 6x- x\\\therefore 35= 5x\\\\\therefore x = \frac{35}{5}\\\\\huge \orange {\boxed {\therefore x = 7}} \\\\m\angle UWY = (63 - x) °\\\\\therefore m\angle UWY = (63 - 7) °\\\\\huge \purple {\boxed {\therefore m\angle UWY = 56 °}}$