problems about angles:
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.

  1. 👍 0
  2. 👎 0
  3. 👁 548
  1. 1. 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?

    1. 👍 0
    2. 👎 0
  2. 2. 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.

    1. 👍 0
    2. 👎 0
  3. ohh.. ^^ thank you :D

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

    1. 👍 0
    2. 👎 0
  4. 1) 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
    so if the bigger angles are 30+x then they are 30+75=105
    so the angles are 105,105,75,75

    1. 👍 0
    2. 👎 0
  5. 3, 1/2, 2, -1.5,-2/3,0.75 put in increasing order

    1. 👍 0
    2. 👎 0
  6. Hi please I need help with this question full solution only please. Two angles of a triangle have the same measure and the third one is 9 degrees greater than the measure of each of the other two. Find the measure of the LARGEST angle in the triangle.

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math-PLEASE check my answers

    What types of problems can be solved using the greatest common factor? What types of problems can be solved using the least common multiple? Complete the explanation. *** Use the words 'same' and 'different' to complete the

  2. biology

    On a television talk show, a guest claims that people who exercise vigorously for 15 minutes or more every day are able to solve math problems more rapidly than people who have no vigorous exercise in their daily routine. Describe

  3. Math

    Ivan finished 4/5 of his math homework problems and all 3 questions for his science homework before dinner . If he finished a total of 43 problems before dinner , what is the total number of math homework problems he was assigned?

  4. sat essay

    Is it necessary for us to find new solutions to problems? Many people may argue that we don¡¯t need to since we are already able to solve the problems. As far as I am concerned, we should always try to find new solutions to

  1. Tecnology

    Alex works at his computer for several hours a day. He is careful to sit up straight at the computer with his feet on the floor and to keep his muscles relaxed, and stays off his computer after 6 p.m. For what kind of

  2. Math

    Yolanda completed 14/25 of her math problems before her break and 1/5 of her math problems after her break. What fraction of her math problems did she complete?

  3. math(help)

    please help me and answers these i feel clueless!with this math 2.If Nell works 3/4 of an hour on Monday and 6/10 of an hour on Tuesday, how much time will she work altogether? A.9/14 hour B.9/20 hour C.1 7/20 hour D.1 7/10

  4. Math

    CAN SOMEONE CHECK MY ANSWERS PLEASE? What types of problems can be solved using the greatest common factor? What types of problems can be solved using the least common multiple? Complete the explanation. *** Use the words 'same'

  1. math

    kenneth has 22 math problems to do for homeworks he has 12 problems done. How many more problems does he have left? If he completes 1 problem every minute, how many more minutes does he have to work?

  2. Math

    Kenneth has 22 math problems to do for homework. He has 12 problems done.How many more problems does he left?if he completes 1 problem every minute,how many more minutes does he have to work?

  3. mathematics (Please answer :))

    What is the measure of the smallest angle in the figure? The figure is not drawn to scale. In this problem my test shows a 90 degree angle, and then for the other two angles, there are algebraic problems. Here are the problems. 6x

  4. math, Please Helppp!!!!!!!! Lost paper!

    I lost my paper for the Math Riddle Pizazz page 167 about solving systems of equations and I no longer have the problems. (It is the "did you hear about the farmer who fed his cows birdseed.." page) What are the math problems for

You can view more similar questions or ask a new question.