AthenaSinclair AthenaSinclair
  • 23-03-2018
  • Mathematics
contestada

Find the measures of the angles in the diagram. 20 points for all of the ones listed below

AQB

ASB

ALB

ATB

ARB

BWD

Find the measures of the angles in the diagram 20 points for all of the ones listed below AQB ASB ALB ATB ARB BWD class=

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frika
frika frika
  • 26-06-2018
AB is a diameter of the circle, so it divides circle into two semicircles. 

Inscribed Angle Theorem:

The measure of an inscribed angle is half the measure of the intercepted arc.


An especially interesting result of the Inscribed Angle Theorem is that an angle inscribed in a semi-circle is a right angle. That's why m∠AQB=m∠ASB=m∠ALB=m∠ATB=m∠ARB=90°.

It is impossible to find measure of ∠BWD, its measure depends on measure of a central angle ∠WDB.





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starkeyms starkeyms
  • 02-07-2018
all are 90 degrees, except for bwd
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