In parallelogram PQRS, angle P :angle Q = 7:8, then find the measure of each angle of quadrilateral PQRS.
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Answer:
given- pqrs is a parallelogram .
pq is parallel to rs and ps is parallel to qr
Step-by-step explanation:
let angle p= 7x ......(equation 1)
let angle q= 8x........(equation 2)
since we know that pq is parallel to rs, we can say that p and q are co-interior angles.
so, p+q=180
from eq.1 and eq.2, we get
7x+8x=180
15x=180
x=180/15
x=12
therefore angle p= 7*12=84
q= 8*12=96
so measure of all angles will be 84,96,84,96
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