Question

7. In the given figure , lines PQ and RS intersect at point T, such that ∠ = 40°

, ∠ = 95° and ∠ = 75° then what is ∠ = ?



(a) 40° (b) 50°

(c) 60° (d) 70°​

Answer 1

Answer: 60 degrees

Step-by-step explanation:

Given,

angle P = 95 degree

angle R = 40 degree

angle S = 75 degree

In Triangle PRT,

Angle P+R+T = 180 degree (Angle sum property)

         95+40+ T = 180

         T = 180-135

         T = 45

Since angle T = 45 degree,

Angle QTS = 45 (vertically opposite angles)

IN Triangle QST

Angle Q+S+T = 180

          Q+75+45=180

           Q= 180-120

           Q= 60

Answer 2

Answer:

angle RTP = 45

angle TQS = 60

Step-by-step explanation:

angle RTP =45. (ASP of a triangle)

qngle QTS= 45. ( vertically opposite angle)

angle TQS = 60. ( ASP of a triangle,)

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