Question

In the given figure PQRSTU is a regular hexagon if angle PQT is 60 degree then find PTQ​

Answer 1

Answer:

as it is a hexagon all the angles are of 60°

and all sides are equal

in ∆PUT

<P=120°

<PUT=<PTU=X

<P+<PUT+<PTU=180°

60°+2x=180°

2x=180°-120°

$x = \frac{60}{2} \\ = 30$

<UTP+<UTQ=60°

30°+<UTQ=60°

<UTQ=60°-30°

<UTQ=30°