Results 1 to 2 of 2

Math Help - Angle Congruent/Supplement Problem

  1. #1
    Newbie
    Joined
    Aug 2011
    Posts
    1

    Angle Congruent/Supplement Problem

    Hello!

    I have a geometry problem from the book "College Geometry: A Discovery's Approach" that is giving me a hard time. It is as follows:

    Problem: 4.1 22
    Prove that if two angles with respective sides are perpendicular, the angles are either congruent or a supplementary pair.

    I managed to solve this problem a long time back but I forgot how to do it -_-.

    Anyone who can solve this?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    earboth's Avatar
    Joined
    Jan 2006
    From
    Germany
    Posts
    5,807
    Thanks
    116

    Re: Angle Congruent/Supplement Problem

    Quote Originally Posted by dauid View Post
    Hello!

    I have a geometry problem from the book "College Geometry: A Discovery's Approach" that is giving me a hard time. It is as follows:

    Problem: 4.1 22
    Prove that if two angles with respective sides are perpendicular, the angles are either congruent or a supplementary pair.

    I managed to solve this problem a long time back but I forgot how to do it -_-.

    Anyone who can solve this?
    1. Draw sketches.

    2. In the 1st case you have a quadrilateral whose interior angles sum up to 360. Since two of the angle sum up to 180 there are left 180 for the remaining two angles.

    3. You have two right triangles with a common angle \alpha. Thus the remaining angles in the right triangles must be equal.
    Attached Thumbnails Attached Thumbnails Angle Congruent/Supplement Problem-wechselrechtewinkl.png  
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Complement and supplement of an angle
    Posted in the Trigonometry Forum
    Replies: 1
    Last Post: January 18th 2011, 12:19 AM
  2. Complement and supplement of an angle
    Posted in the Trigonometry Forum
    Replies: 1
    Last Post: September 17th 2010, 01:05 AM
  3. Measure of an angle...and supplement
    Posted in the Geometry Forum
    Replies: 2
    Last Post: May 10th 2009, 03:08 PM
  4. Complement and Supplement of an angle
    Posted in the Geometry Forum
    Replies: 1
    Last Post: December 21st 2007, 02:36 AM
  5. prove a congruent angle with a bisector
    Posted in the Geometry Forum
    Replies: 2
    Last Post: June 18th 2007, 02:12 PM

Search Tags


/mathhelpforum @mathhelpforum