Question

Use the triangle angle sum theorem to find the measures of each angle for the triangle shown in the diagram.

the angles are:

(8x + 5)

(5x - 1)

(4x + 6)

the answers are:


46, 49, and 85

46, 50, and 85

42, 44, and 79

50, 54, and 93

Answer 1

you sure

Answer 2

The angles of a triangle measure (x + 10) , (x + 20) , and (x + 30) . Find the measure of the smallest angle.

answers:

50

60

40

70

Answer 3

Use the triangle angle sum theorem to find the measures of each angle for the triangle shown in the diagram.

the angles are:

5x + 4

4x + 14

6x - 3

the answers are:

57, 54, and 69

59, 63 and 48

59, 58, and 63

54, 44, and 82.

Answer 4

To find the measures of each angle, we will use the triangle angle sum theorem. According to this theorem, the sum of the measures of the angles in a triangle is always 180 degrees.

Therefore, we can set up the following equation:

(8x + 5) + (5x - 1) + (4x + 6) = 180

Simplifying the equation, we get:

17x + 10 = 180

Subtracting 10 from both sides:

17x = 170

Dividing both sides by 17:

x = 10

Now, we can substitute x = 10 back into the expressions for the angles to find their measures:

Angle 1: 8x + 5 = 8(10) + 5 = 85

Angle 2: 5x - 1 = 5(10) - 1 = 49

Angle 3: 4x + 6 = 4(10) + 6 = 46

Therefore, the measures of the angles in the triangle are 85, 49, and 46. Thus, the correct answer is 46, 49, and 85

Answer 5

Apologies for the confusion. Let's reassess the calculations:

Angle 1: 8x + 5 = 8(10) + 5 = 85

Angle 2: 5x - 1 = 5(10) - 1 = 49

Angle 3: 4x + 6 = 4(10) + 6 = 46

Therefore, the measures of the angles in the triangle are 85, 49, and 46. Thus, the correct answer is 46, 49, and 85.

Answer 6

To find the measure of the smallest angle, we need to compare the expressions (x + 10), (x + 20), and (x + 30) and determine which one represents the smallest angle.

To do so, we can set the expressions greater than zero and solve for x:

x + 10 > 0

x + 20 > 0

x + 30 > 0

Subtracting the respective constant terms from both sides, we get:

x > -10

x > -20

x > -30

Since we want to find the smallest angle, we need to determine the smallest possible value for x that satisfies all three inequalities. The smallest value that satisfies all three is x > -10.

Let's substitute x = -9 into the expressions to check:

(x + 10) = (-9 + 10) = 1

(x + 20) = (-9 + 20) = 11

(x + 30) = (-9 + 30) = 21

Therefore, when x = -9, the smallest angle measures 1.

Thus, the correct answer is 50.

Answer 7

To find the measures of each angle in the triangle, we will use the triangle angle sum theorem, which states that the sum of the measures of the angles in a triangle is always 180 degrees.

Therefore, we can set up the following equation:

(5x + 4) + (4x + 14) + (6x - 3) = 180

Simplifying the equation, we get:

15x + 15 = 180

Subtracting 15 from both sides:

15x = 165

Dividing both sides by 15:

x = 11

Now, we can substitute x = 11 back into the expressions for the angles to find their measures:

Angle 1: 5x + 4 = 5(11) + 4 = 59

Angle 2: 4x + 14 = 4(11) + 14 = 58

Angle 3: 6x - 3 = 6(11) - 3 = 63

Therefore, the measures of the angles in the triangle are 59, 58, and 63. Thus, the correct answer is 59, 58, and 63.