In quadrilateral QRST, Angle R S T measures (5x+15)°. Angle TQR measures (4x+3)°. Circle P is inscribed with quadrilateral Q R S
T. What is the measure of angle RST? 15° 75° 105° 165°
2 answers:
Answer:
105degrees
Step-by-step explanation:
Using the theorems that states that the sum of the opposite side of the quadrilateral is 180degrees, hence;
<RST + <TQR = 180
5x+15 + 4x+ 3 = 180
9x + 18 = 180
9x = 180 - 18
9x = 162
x = 162/9
x = 18
Since <RST = 5x+15
<RST = 5(18) + 15
<RST = 90 + 15
<RST = 105degrees
Hence the measure of <RST is 105degrees
Answer:
c
Step-by-step explanation:
You might be interested in
A^2-3a+14 is the answer :)
The answer is C. 3×4 = 12. There are two therefore 50-24 = 26.
Answer:
72.22
Step-by-step explanation:
Answer:
look it up
Step-by-step explanation:
Answer:
180
Step-by-step explanation:
Subtract the sum of the two angles from 180 degrees.