Question

find the value if unknown x in the following diagram ​

Answer 1

Step-by-step explanation:

In ∆ABC

A+B+C=180{Angle sum property of triangle}

x+50+60=180

x+110=180

x=180-110

x=70

In∆PRQ

P+R+Q=180

90+x+30=180

x+120=180

x=180-120

x=60

Answer 2

Answer:

In triangle ABC,

<A + <B + <C = 180° [Angle sum property]

x + 50° + 60° = 180°

x + 110° = 180°

x = 180° - 110°

x = 70°

In triangle QPR,

<P + <Q + <R = 180°

90° + 30° + x = 180°

120° + x = 180°

x = 180° - 120°

x= 60°