A carpenter is making a brace for a chair. To do so she intersects two pieces of wood to make two sets of vertical angles. The obtuse angles formed are each 145º. What is the measurement of each acute angle formed?
Please tell me how you solved it.
Thanks
2006-11-30 06:37:24 · 5 answers · asked by yupp 1 in Science & Mathematics ➔ Mathematics
The angles formed by crossing lines are supplementary (add to 180º).
So it is a simple matter of subtracting:
180º - 145º = 35º
The acute angles will each be 35º.
2006-11-30 06:46:58 · answer #1 · answered by Puzzling 7 · 1⤊ 0⤋
1) The total sum of angles formed by the two pieces are 360°
2) The two obtuses angles sums up 145° x 2 = 290°
3) So the acute angles measures 360° - 290° = 70°
4) Each acute angle measures 70°/2 = 35°
That's it!
Good luck!
2006-11-30 06:47:39 · answer #2 · answered by CHESSLARUS 7 · 0⤊ 0⤋
If I'm reading this right, the two pieces of wood formed an X. Two angles are 145, the other angles have to be 35.
2006-11-30 06:42:57 · answer #3 · answered by T 5 · 0⤊ 0⤋
That one is easy. All you have to do is subtract 145 from 180. You get 35. The brace is kinda like a long tall X. Each side of a straight line is 180. You take both sides and get 360. The answer is 35 either way you look at it. 145 + 145 + 35 + 35 = 360
2006-11-30 06:46:16 · answer #4 · answered by Anonymous · 0⤊ 0⤋
total=360*
sum of the two obtuese angles=145+145=290*
so sum of the two acute angles=360-290=70*
so each acute angle=70/2=35*
2006-11-30 06:43:21 · answer #5 · answered by raj 7 · 0⤊ 0⤋