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Mathematics 14 Online
zarkam21 (zarkam21):

Helpppp

zarkam21 (zarkam21):

@mathstudent55

zarkam21 (zarkam21):

@MrNood

OpenStudy (mathstudent55):

You have a parallelogram, and you have some expressions given for the measures of some of the angles of the parallelogram. There is a relationship between the measures of the angles of a parallelogram. You need to look it up.

zarkam21 (zarkam21):

I know that you set them equal to 180

OpenStudy (mathstudent55):

That is correct for any two consecutive angles.

OpenStudy (mathstudent55):

In a parallelogram, opposite angles are congruent. In a parallelogram, any two consecutive angles are supplementary (their measures add to 180 deg.)

OpenStudy (mathstudent55):

You are looking for y. Look at the angle that has a y in the expression for its measure. Do you see an opposite angle or a consecutive angle that has only a number for its measure?

zarkam21 (zarkam21):

6y+5?

OpenStudy (mathstudent55):

Good. 6y + 5 has y in it, so you need to use it. Either you set it equal to the measure of an opposite angle, or you add it to the measure of a consecutive angle and set the sum equal to 180. Now you need a consecutive angle or an opposite angle. The angle you need has to have only numbers, or numbers and y, but no x. Do you see an angle measure that has no x, but has only numbers or numbers and y?

zarkam21 (zarkam21):

73

zarkam21 (zarkam21):

Oh i solved it and got 17

OpenStudy (mathstudent55):

Good. The angle measuring 73 is consecutive to the angle measuring 6y + 5, so the angles are supplementary. \(6y + 5 + 73 = 180\) \(6y + 78 = 180\) \(6y = 102\) \(y = 17\) You are correct.

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