Question

Give me this question_ answer step by step​

Answer 1

Step-by-step explanation:

(i) Let angle ABC and angle ACB be y

So, by angle sum property of triangles:

y+y+50 =360

2y+50=360

2y=360-50

2y=310

y=310/2

y=155 _________equation 1

Now, angle ACB + angle ACD =180 (Linear pair of angles)

y+x=180

155+x=180 (from equation 1)

x=180-155

x=25°

(ii) Here,PR=RS

therefore,PRS is an isosceles triangle

So,RSP=RPS=30°

therefore angle P= angle RPS+angle RPQ

30°+52°= 82°

Now by ASP of triangle:

angle P+angleQ+angles=360°

82°+ x +30=360°

112°+x =360°

So, x=360-112

x= 248°