If ∠1 and ∠2 are supplementary angles and m∠1=97.54°, what is m∠2?

For this case we have:

By definition, two angles are supplementary if they add up to 180 degrees.

That is to say:

∠1 + ∠2 = 180°

If:

m∠1 = 97.54°

We have:

m∠1 + m∠2 = 180°

97.54° + m∠2 = 180°

Clearing m∠2 we have:

m∠2 = 180° -97.54°

m∠2 = 82.46°

Thus, the supplementary angle of m∠1 = 97.54° is m∠2 = 82.46°

m∠2 = 82.46°

measurement of the swimming pool is given as = 7 yards 4.79 feet

first we will convert this to yards only.

1 foot = 0.33 yards

so, 4.79 feet = yards

so total yards are = yards

now we will convert this in meters.

1 yard = 0.914 meters

8.580 yards = meters

0.842 m = 0.842*100 = 84.2 cm

this becomes 7 meters and 84.2 cm

hence, the pool is 7 meters and 84.2 cm wide.