if pqrs is a parallelogram, then find the angle P,Q,Rand S
plz answer it
Attachments:
Answers
Answered by
1
all the angles are 90
Step-by-step explanation:
because all the angles are right angles
Answered by
0
In triangle PSR:
angle P + angle S + angle R = 180° (Angle sum property of triangle)
3a+5a+2a = 180°
10a = 180°
a = 180°÷10
a = 18°
so,
we get value of a = 18°
3a = 3×18 = 54°
5a = 5×18 = 90°
2a = 2×18 = 36°
In triangle PQR:
angle Q = 90° ( Opposite angles of parallelogram are equal )
angle PRQ = 54° ( Alternate interior angles )
angle RPQ = 36° (Alternate interior angles )
so,
angle R = 36°+ 54°= 90°
angle P = 54°+ 36°= 90°
So , the angles are :
angle P=90°
angle Q=90°
angle R=90°
angle S=90°
I hope it helps you !!
Similar questions
Science,
1 month ago
Computer Science,
1 month ago
English,
1 month ago
English,
3 months ago
Computer Science,
3 months ago
Physics,
9 months ago
India Languages,
9 months ago