Question

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°

Answer 1

c

Explanation:

Answer 2

105degrees

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