a carpenter is making a brace for a chair. she intersects 2 pieces of wood to make to sets of vertical angles. the obtuse angles formed are each 45 degrees. what is ythe messurement of each acute angle formed?
2006-12-27 02:07:45 · 1 answers · asked by mrspeanut 1 in Science & Mathematics ➔ Earth Sciences & Geology
Your question is questionable (sorry). 45 degrees cannot be considered an obtuse angle (which by definition is one greater than 90 degrees). If the sets of wood have two angles of 45 degrees each the third angle must be 90 degrees (the angles of a triangle add up to 180 degrees.
If the two pieces are attached to the seat at one end and angle together to meet at the arm at 45 degree angles then the internal angle between the two pieces is still 90 degrees--the straight arm can be thought of as a 180 degree angle, and each external angle at the braces (45 degrees) add up to 90 degrees, then the internal angle has to be a further 90 degrees.
The above answer assumes that the triangle thus formed is formed from straight pieces of wood in one plane...and not curved pieces of wood.
2006-12-27 06:52:18 · answer #1 · answered by David A 5 · 0⤊ 0⤋