Use the image to answer the question.
An illustration shows a triangle with vertices as D G O. Angle G at the bottom left is right angled. Angle O at the bottom right is 41 degrees. The line D O forms the hypotenuse.
Find the measure of the angle on point D .
(1 point)
Responses
39°
39 degrees
49°
49 degrees
29°
29 degrees
59°
7 answers
49°
Use the Triangle Angle Sum Theorem to find the measures of each angle for the triangle shown in the diagram.
(1 point)
Responses
46°, 49°, and 85°
46 degrees , 49 degrees , and 85 degrees
50°, 54°, and 93°
50 degrees , 54 degrees , and 93 degrees
42°, 44°, and 79°
42 degrees , 44 degrees , and 79 degrees
46°, 50°, and 85°
(1 point)
Responses
46°, 49°, and 85°
46 degrees , 49 degrees , and 85 degrees
50°, 54°, and 93°
50 degrees , 54 degrees , and 93 degrees
42°, 44°, and 79°
42 degrees , 44 degrees , and 79 degrees
46°, 50°, and 85°
46°, 49°, and 85°
The angles of a triangle measure (x+10)° , (x+20)° , and (x+30)° . Find the measure of the smallest angle.(1 point)
Responses
70°
70 degrees
40°
40 degrees
60°
60 degrees
50°
Responses
70°
70 degrees
40°
40 degrees
60°
60 degrees
50°
40°
To find the measure of the smallest angle, you need to set up an equation solving the sum of the angles in a triangle. The Triangle Angle Sum Theorem states that the sum of the interior angles of a triangle is always 180°.
So, you have:
(x + 10) + (x + 20) + (x + 30) = 180
3x + 60 = 180
3x = 120
x = 40
Now, substitute x back into the smallest angle, which is (x + 10) = (40 + 10) = 50°. The smallest angle is 50°.
To find the measure of the smallest angle, you need to set up an equation solving the sum of the angles in a triangle. The Triangle Angle Sum Theorem states that the sum of the interior angles of a triangle is always 180°.
So, you have:
(x + 10) + (x + 20) + (x + 30) = 180
3x + 60 = 180
3x = 120
x = 40
Now, substitute x back into the smallest angle, which is (x + 10) = (40 + 10) = 50°. The smallest angle is 50°.
Use the image to answer the question.
A triangle a b c is shown with angle a measuring 4 x plus 14, angle b measuring 5 x plus 4, and angle c measuring 6 x minus 3.
Use the Triangle Angle Sum Theorem to find the measure of the angles for the triangle in the diagram.
(1 point)
Responses
54°, 44°, and 82°
54 degrees , 44 degrees , and 82 degrees
57°, 54°, and 69°
57 degrees , 54 degrees , and 69 degrees
59°, 63°, and 48°
59 degrees , 63 degrees , and 48 degrees
59°, 58°, and 63°
59 degrees , 58 degrees , and 63 degrees
Skip to navigation
A triangle a b c is shown with angle a measuring 4 x plus 14, angle b measuring 5 x plus 4, and angle c measuring 6 x minus 3.
Use the Triangle Angle Sum Theorem to find the measure of the angles for the triangle in the diagram.
(1 point)
Responses
54°, 44°, and 82°
54 degrees , 44 degrees , and 82 degrees
57°, 54°, and 69°
57 degrees , 54 degrees , and 69 degrees
59°, 63°, and 48°
59 degrees , 63 degrees , and 48 degrees
59°, 58°, and 63°
59 degrees , 58 degrees , and 63 degrees
Skip to navigation
We will use the Triangle Angle Sum theorem, which states that the sum of the interior angles of a triangle is always 180 degrees.
Given the angles in terms of x:
a = 4x + 14
b = 5x + 4
c = 6x - 3
Sum of angles:
(4x + 14) + (5x + 4) + (6x - 3) = 180
15x + 15 = 180
15x = 165
x = 11
Now, substitute x back into each angle to find their measures:
a = 4(11) + 14 = 58°
b = 5(11) + 4 = 59°
c = 6(11) - 3 = 63°
Therefore, the angles of the triangle measure 58°, 59°, and 63°. This corresponds to the option: 59°, 58°, and 63°.
Given the angles in terms of x:
a = 4x + 14
b = 5x + 4
c = 6x - 3
Sum of angles:
(4x + 14) + (5x + 4) + (6x - 3) = 180
15x + 15 = 180
15x = 165
x = 11
Now, substitute x back into each angle to find their measures:
a = 4(11) + 14 = 58°
b = 5(11) + 4 = 59°
c = 6(11) - 3 = 63°
Therefore, the angles of the triangle measure 58°, 59°, and 63°. This corresponds to the option: 59°, 58°, and 63°.
1 answer