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PLEASE HELP, im on timed and i cant figure out this question.. Please show your work!!!

PLEASE HELP Im On Timed And I Cant Figure Out This Question Please Show Your Work class=

Sagot :

Answer:

x = 9 , ∠ QAO = 24°

Step-by-step explanation:

The incentre is where a triangle's three angle bisectors intersect.

An angle bisector is a segment that cuts an angle in half .

the segment OA bisects ∠ QAS , then

∠ SAO = ∠ QAO ( substitute expressions and solve for x )

4x - 12 = 2x + 6 ( subtract 2x from both sides )

2x - 12 = 6 ( add 12 to both sides )

2x = 18 ( divide both sides by 2 )

x = 9

substitute x = 9 into the expression for ∠ QAO

∠ QAO = 2x + 6 = 2(9) + 6 = 18 + 6 = 24°

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