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August 31, 2015
Posted by **jason** on Thursday, November 15, 2007 at 10:59pm.

Hi. I needed help on some problems for the math section that we are doing in class.

I am trying out some problems in my math book, but they prove quite difficult.

1. In a certain parallelogram, if the measure of one angle is 30 degrees more than the measure of a second angle, find the measure of each of the four angles.

2. In a certain Isosceles triangle, the sum of the measures of the base angles is 88 degrees less than the measure of the remaining angle. Find the measurement of each angle.

3. The degree measures of two angles of a triangle are consecutive even integers. If the measure of the third angle is 50 degrees more than twice the measure of the least angle. Find the measure of each angle.

please guide me on how to start these problems.

- algebra. (Question 1) -
**Hannah**, Thursday, November 15, 2007 at 11:03pm1. Ok. Well you know that 2 angles in the parallelogram have the same angle, right? The opposite angles? And the other 2 angles are the same, right? So let's say the small angle is x. That means there are two angles that are x degrees. Now, if the other angles are 30 degrees more, how would you write that? x+30. So, you have 2 x's and 2 (x+30)s. x+x+(x+30)+(x+30)=360 because there are 360 degrees in the parallelogram. Now solve for x. This will be the degrees for the two small angles. Add 30 to get the amount for the larger ones. Make sense?

- algebra. -
**jason**, Thursday, November 15, 2007 at 11:06pmohh.. ^^ thank you :D

now... any1 up for the next 2? ^^

- algebra. -
- algebra. (Question 2) -
**Hannah**, Thursday, November 15, 2007 at 11:06pm2. Ok. What are the base angles? Well, in an isoceles triangle, two sides are the same length. There is an angle between them. The base angles are the 2 angles that are NOT between them, and they are EQUAL. So, the two base angles are 88 degrees less that the remaining angle. Let's say the remaining angle is x. What would the sum of the other two angles be? If they are 88 less than the remaining angle, won't the two of them add up to x-88? There are 180 degrees in a triangle, so (x-88)+x=180, solve for x.

- algebra. -
**Jamie**, Thursday, November 15, 2007 at 11:09pm1) start by drawing one,

on the 2 bigger angles put 30+x

on the 2 smaller angles put x

so you have 30+x+30+x+x+x

so now you have 60+4x

in a parallelogram there are 360 degrees

now put it into an equation

60+4x=360

4x=300

x=75

so if the bigger angles are 30+x then they are 30+75=105

so the angles are 105,105,75,75

- algebra. -
**Anonymous**, Sunday, October 16, 2011 at 10:56pm3, 1/2, 2, -1.5,-2/3,0.75 put in increasing order