As bases mq e np de um trapézio medem 42 cm e112 cm, respectivamente. se o ângulo mqp é o dobro do ângulo pnm, então o lado pq mede?

Firstly, we will draw diagram

we will draw line qq'

which will make mqq'n as parallelogram

and we know that opposite sides of parallelograms are always equal

so, we get

we are given

mq=42

so,

we can see that q' lies on np

so, we can write as

we are given

np=112

so, we can plug these values

now, we can see that

triangle qpq' forms isosceles triangle

so, we get

so,

............Answer

ab will be equal to