acute angle of a parallelogram?

Question

Can someone explain how to find the degree measurement of the acute angle of a parallelogram given the following information:

The measures of two consecutive angles of the parallelogram are in the ratio 3:7. Find the measure of an acute angle of the parallelogram.

If I can get a detailed explination of how this works it would be appreciated. Thanks.

Answer 1

The sum of adjacent angles in a parallelogram equals 180.  This is because the total of all 4 angles is 360 and opposite angles are equal, so any two adjacent angles sum to 180.

Let x = one of the angles and y = the other one.

x + y = 180

With the given relationship, then 7x = 3y and y = (7/3)x.  Substitute this into the other equation.

x + (7/3)x = 180

(10/3)x = 180

x = 180(3)/10 = 54

y = (7/3)(54) = 126

Hope that helps!

Answer 2

lorene is running a 3-mile race. he stops at water stop A. how far did lorene run?

Answer 3

well first you use the ratio then you find the acute angle Hope that helped. :)