The measures of the angles in the diagram are as follows:
Angle AQB: 90 degrees
Angle ASB: 180 degrees
Angle ALB: 180 degrees - 90 degrees = 90 degrees
Angle ATB: 0 degrees
Angle ARB: 180 degrees
Angle BWD: 180 degrees .
It seems there might be a mistake in your information. Let's go through the given angles and their measures again:
To solve this problem, we can use the following information:
Angles that are supplementary add up to 180 degrees.
Angles that are vertical angles are equal.
Angles that are alternate interior angles are equal.
Angle ALB
Angle ALB is supplementary to angle AQB, so its measure is 180 degrees - 90 degrees = 90 degrees.
Angle ATB
Angle ATB is vertical to angle ALB, so its measure is equal to angle ALB, which is 90 degrees.
Angle ARB
Angle ARB is supplementary to angle ASB, so its measure is 180 degrees - 180 degrees = 0 degrees.
Angle BWD
Angle BWD is supplementary to angle ATB, so its measure is 180 degrees - 90 degrees = 180 degrees.