Question

14. Find the value of x if QS bisects PQR and
mZPQR = 82.
(10.x + 1)
S
R

Answer 1

x = 4

Explanation:

Since, QS bisects
`\angle PQR`.

`\therefore m\angle PQS = (1)/(2) * m\angle PQR\\</p><p>\therefore (10x + 1)\degree = (1)/(2) * 82\degree \\</p><p>\therefore (10x + 1)\degree = 41\degree \\</p><p>\therefore 10x + 1 = 41 \\</p><p>\therefore 10x = 41 - 1\\</p><p>\therefore 10x = 40\\</p><p>\therefore x = (40)/(10) \\</p><p>\huge \orange {\boxed {\therefore x = 4}}`