in a quadrilateral line RT is drawn parallel to SQ If angle QPS = 100 , angle PQS = - Maths - Understanding Quadrilaterals

Question

in a quadrilateral line RT is drawn parallel to SQ If angle QPS =
100 , angle PQS = 40 , angle PSR = 85 AND angle QRS = 70 , then
angle QRT IS

Brijendra Pal · Accepted Answer

Dear Student,
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Here angle 2 = 100 and angle 3 = 40 so angle 1 = 180- angle 2-angle 3 Using angle sum property in a triangle PQSangle 1 = 180-140 = 40 Now angle 1+angle 4 = 85 angle 4 = 85- 40 = 45 angle 6 = 70 so in triangle QRS, angle 5 = 180 - 45-70 =65 degreeNow Since RT∥QS and QR is a transverse line so x = angle 5  Alternate anglex = 65 degreeregards

in a quadrilateral line RT is drawn parallel to SQ .If angle QPS = 100 , angle PQS = 40 , angle PSR = 85 AND angle QRS = 70 , then angle QRT IS