Question

PLEASE HELP !!!!!!!!!!!! I WILL MARK BRIANLIEST CORRECT ANSWER !!!!!!!!!!!

Answer 1

Answer:

59°

Explanation:

According to the given description,
`\angle QRS` is the exterior angle of
`\triangle PQR`

So, by exterior angle property of a triangle, we have:

`m\angle QRS=m\angle RPQ+m\angle PQR\\\\</p><p>(10x - 1)\degree = (3x +17)\degree+(2x +12)\degree\\\\</p><p>(10x - 1)\degree = (3x +17+2x +12)\degree\\\\</p><p></p><p>(10x - 1)\degree = (5x +29)\degree\\\\</p><p></p><p>(10x - 1)= (5x +29)\\\\</p><p></p><p>10x - 5x = 29 + 1\\\\</p><p>5x = 30\\\\</p><p>x = (30)/(5)\\\\</p><p>x = 6\\\\</p><p></p><p>\because m\angle QRS = (10x - 1)\degree \\\\</p><p></p><p>\therefore m\angle QRS = (10* 6- 1)\degree \\\\</p><p>\therefore m\angle QRS = (60- 1)\degree \\\\</p><p>\huge\orange{\boxed{\therefore m\angle QRS = 59\degree }}\\</p><p>`