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professor190 [17]

3 years ago

9

A parallelogram has one angle that measures 80 degrees. What are the measures of the three other angles in the parallelogram?

2 answers:

san4es73 [151]3 years ago

6 0

The opposite angle is also 80°. since consecutive angles must total 180, the other 2 angles are 100 each. 100+100+80+80=360, as needed for a parallelogram

sleet_krkn [62]3 years ago

3 0

The opposite angle will be 80° as opposite angles and sides of a parallelogram are equal.
.
The rest two angles will be 100° as adjacent angles are supplementary in a parallelogram.

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Answer:

$\bold{495\pi} \approx \bold{1555.088 cm^3}$

Step-by-step explanation:

There was no figure but the question is clear

Volume of a cylinder is given by the formula $\bold{\pi r^2h}\\$

where r is radius of base of cylinder, h is the height

Volume of a cone is given by $\bold{\frac{1}{3} \pi r^2 h}$

where r is the radius of base of cone, h is the height

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Radius of cone = $\frac{1}{2}$ (radius of cylinder) = $\frac{1}{2}$ (6) = 3 cm

Height of cone same as height of cylinder = 15cm

Volume of cone, $V_{cone} = \frac{1}{3}\pi r^2 h = \frac{1}{3}\pi (3)^2 15 = \frac{1}{3}(9)15\pi = \bold{45\pi}\\$

Difference is the volume of the remaining solid

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