Question

in a triangle PQRS If PQ =7.5 then find the measure of angle PQR and angle SRQ​

Answer 1

Answer:

= 75We know that rhombus is a parallelogram with a pair of adjacent sides equal.

Here , PQRS is a rhombus.

Hence, adjacent sides PQ and QR are equal.

So,PQ =QR = 7.5 cm.

Now,  

draw diagonal PR

we have, PQ=QR and ∠QPS = 75º

triangle PQR is isosceles

∠QPS = 75°

So, ∠SRQ  = 75° (opposite angles of a rhombus are equal in measure)

∠PQR=(180-75-75)/2= 15° {Adjacent sides (ones next to each other) of a rhombus are supplementary. This means that their measures add up to 180 degrees.}

Step-by-step explanation: