00:01
In this question, we have to find the measure of angle wxy.
00:06
Now, we will use the exterior angle theorem in this question, which says that the measure of exterior angle of a triangle is equal to the sum of two opposite interior angles.
00:24
Now coming to our question here, this side, zx of the triangle is extended up to point w.
00:36
Therefore, this angle wxy of 2x minus 2 degrees is the exterior angle of the triangle of the triangle.
00:48
And these two angles here, angle 70 degree and angle x, degrees these two angles are the opposite interior angles.
01:04
Therefore, we can write that measure of angle wxy, that is the exterior angle of the triangle, is equal to measure of angle x, y, z, that is this angle, plus measure of angle y, z, that is this angle, that is this angle y, z, using the exterior angle theorem.
01:38
Now we will substitute the values.
01:40
Putting angle w xy, that is this angle here as 2x minus 2 degrees is equal to putting angle x y z here this angle as x degrees plus putting angle y z that is this angle here as 70 degrees.
02:01
Now we need to simplify this equation.
02:07
So we get 2x minus x is equal to 70 plus 2...