The second angle of a triangle is two times as large as the first. The third angle is 10 degrees more than the second angle. Find the measure of the first angle.
2006-08-15 12:48:57 · 10 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
34 degrees
2006-08-19 02:56:50 · answer #1 · answered by Joe Mkt 3 · 1⤊ 0⤋
The first angle should equal 34 degrees. Since the total of the three angles = 180 degrees just make a simple algebraic equation. x=first angle so if the 2nd angle is two times that 2x=2nd angle and since the third angle is the 2nd+10....2x+10=3rd angle. So you equation ends up being
x+2x+2x+10=180
simplified to
5x+10=180
solve
x=34
2006-08-15 12:56:03 · answer #2 · answered by Anonymous · 0⤊ 0⤋
Let the first angle be θ. Then the second angle is 2θ and the third angle is 2θ+10°. Note that the sum of all angles must be 180°. Thus: θ + 2θ + 2θ + 10° = 180°, from which it follows that 5θ=170° and θ=34°.
2006-08-15 12:57:43 · answer #3 · answered by Pascal 7 · 0⤊ 0⤋
a + b + c = a hundred and eighty the place a = 1st attitude, b = 2d attitude, c = third attitude we additionally comprehend: b = 2a and c = b + 10 now you have 3 equations and 3 unknowns: remedy the 2d eqn for a: a = (b/2) plug a = b/2 and c = b + 10 interior the 1st eqn: (b/2) + b + b + 10 = a hundred and eighty multiply each and every thing by utilising 2: b + 2b + 2b + 20 = 360 5b = 340 b = sixty 8 stages all of us comprehend: b = 2a: sixty 8 = 2a a = 34 stages c = b + 10: c = sixty 8 + 10 = seventy 8 stages. examine: 34 + sixty 8 + seventy 8 = a hundred and eighty. ANS: a = 1st attitude = 34 stages.
2016-11-04 21:41:33 · answer #4 · answered by ? 4 · 0⤊ 0⤋
x + y + z = 180
y = 2x
z = y + 10
z = x + 10
x + 2x + (2x + 10) = 180
x + 2x + 2x + 10 = 180
5x + 10 = 180
5x = 170
x = 34
The angles are 34°, 68°, 78°
ANS : 34°
2006-08-15 15:02:34 · answer #5 · answered by Sherman81 6 · 0⤊ 0⤋
b = 2a;
c = b + 10°
a + b + c = 180°
thus:
a + 2a + (2a + 10°) = 180°
5a + 10° = 180°
5a = 170°
a = 170/5 = 34°
2006-08-15 12:56:33 · answer #6 · answered by Jose R 2 · 0⤊ 0⤋
34 degrees
2006-08-15 12:55:49 · answer #7 · answered by Willis 2 · 0⤊ 0⤋
x+2x+2x+10=180
x=34
2006-08-15 12:57:27 · answer #8 · answered by Migity696 3 · 0⤊ 0⤋
the answer is always 7
2006-08-15 12:52:24 · answer #9 · answered by Mr.No-It-All 5 · 0⤊ 1⤋
Please do your own homework.
How ya gonna learn if you don't study?
2006-08-15 12:55:38 · answer #10 · answered by angiesdabomb 2 · 0⤊ 0⤋