The value of x is 5
Further explanation
Firstly , let us learn about trigonometry in mathematics.
Suppose the ΔABC is a right triangle and ∠A is 90°.
sin ∠A = opposite / hypotenuse
cos ∠A = adjacent / hypotenuse
tan ∠A = opposite / adjacent
Let us now tackle the problem!
The incenter of triangle RST is the intersection between all of the angle bisectors from the three vertices of triangle.
From the attachment , it can be concluded that:
∠ZAS = ∠ZBS = 90°
∠ZSA = ∠ZSB
ZS of ΔZSA is coincided with ZS of ΔZSB
∴ ΔZSA is congruent to ΔZSB
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From the information above , then :
∠ZSA = ∠ZSB
( 5x - 9 )° = ( 16 )°
5x = 16 + 9
5x = 25
x = 25 ÷ 5
x = 5
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Conclusion:
The value of x is 5
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Learn more
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Answer details
Grade: College
Subject: Mathematics
Chapter: Trigonometry
Keywords: Sine , Cosine , Tangent , Opposite , Adjacent , Hypotenuse , Triangle , Fraction , Lowest , Function , Angle , Congruent
