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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-example-1
User Ohad Regev
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2 Answers

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all are 90 degrees, except for bwd
User Cheesetaco
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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.





User Evil Elf
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