Hi there.
A triangle's interior angles must always add up to 180 degrees. Since we already have one measurement, 56, we can set up an equation to solve for the missing angles.
(2x + 4) + 56 + x= 180; solve for x.
Subtract 56 from both sides.
(2x + 4) + x = 124;
Combine like-terms (x).
3x + 4 = 124;
Subtract 4 from both sides.
3x = 120
Divide both sides by 3 to solve for x.
x = 40.
Now, we need to substitute x with 40 in each of our angles to determine their measurements.
2x + 4; x = 40.
2(40) + 4 = 80 + 4 = 84;
One measurement is 84 degrees.
x = 40 is another measurement on its own.
Our measurements are:
56, 84, and 40.
Your corresponding answer choice is H.) 56, 84, 40.
I hope this helps!
Answer:
Step-by-step explanation:
Answer:
The answer to your question is below
Step-by-step explanation:
1) Alternate interior angles measure the same
10x - 10° = 100°
10x = 100° + 10°
10x = 110°
x = 110° / 10°
x = 11°
2) Alternate exterior angles measure the same
x + 99° = 90°
x = 90° - 99°
x = -9°
3) Supplementary angles measure 180°
(6x + 12) + (14x + 8) = 180°
6x + 12 + 14x + 8 = 180°
20x + 20 = 180
20x = 180 - 20
20x = 160
x = 160 / 20
x = 8
4) Alternate exterior angles measure the same
26x + 1 = 131°
26x = 131° - 1°
26x = 130°
x = 130° / 26°
x = 5
5) Consecutive interior angles measure 180°
x + 100 + 85° = 180°
x + 185 = 180
x = 180 - 185
x = -5
6) Corresponding angles measure the same
7x - 7 = 70
7x = 70 + 7
7x = 77
x = 77 / 7
x = 11
7) Supplementary angles measure 180°
(12x + 8) + (100°) = 180°
12x + 8 + 100 = 180
12x + 108 = 180
12x = 180 - 108
12x = 72
x = 72 / 12
x = 6
8) Consecutive interior angles measure 180°
18x + 8x - 2 = 180°
26x = 180 + 2
26x = 182
x = 182 / 26
x = 7
9) Corresponding angles measure the same
27x + 7 = 28x + 3
27x - 28x = 3 - 7
-1x = -4
x = -4/-1
x = 4
10) Consecutive interior angles measure 180°
(x + 107) + (x + 87) = 180
x + 107 + x + 87 = 180
2x + 194 = 180
2x = 180 - 194
2x = -14
x = -14 / 2
x = -7
It is a math mathematical form of objects natural stance, to find it you need the positive integer and its finite sequence of digits.
Answer:
30°
Step-by-step explanation:
