7 +0
11 answers
7.
Are these angles complementary, supplementary, or neither?
(1 point)
Responses
complementary
complementary
supplementary
supplementary
neither
(1 point)
Responses
complementary
complementary
supplementary
supplementary
neither
neither
If ∠H and ∠J are complementary, and the measure of ∠H is 45 ° , what is the measure of ∠J?(1 point)
Responses
135°135degree
60°60degree
55°55degree
45°
Responses
135°135degree
60°60degree
55°55degree
45°
If ∠H and ∠J are complementary, it means that the sum of their measures is 90°.
Given that the measure of ∠H is 45°, we can calculate the measure of ∠J by subtracting the measure of ∠H from 90°:
90° - 45° = 45°
Therefore, the measure of ∠J is 45°.
Given that the measure of ∠H is 45°, we can calculate the measure of ∠J by subtracting the measure of ∠H from 90°:
90° - 45° = 45°
Therefore, the measure of ∠J is 45°.
Angles j and k are supplementary angles. What is m∠j if m∠k = 117°?
m∠j = Response area
m∠j = Response area
If angles J and K are supplementary, it means that the sum of their measures is 180°.
Given that m∠K = 117°, we can calculate m∠J by subtracting the measure of ∠K from 180°:
180° - 117° = 63°
Therefore, m∠J = 63°.
Given that m∠K = 117°, we can calculate m∠J by subtracting the measure of ∠K from 180°:
180° - 117° = 63°
Therefore, m∠J = 63°.
What is an equation for these two supplementary angles?
(2x + 3) + (x - 6) = Response area
(2x + 3) + (x - 6) = Response area
An equation for the two supplementary angles can be written as:
(2x + 3) + (x - 6) = 180
(2x + 3) + (x - 6) = 180
The two angles shown are supplementary. Find the measure of angle x.
(1 point)
Responses
17°17degree
73°73degree
107°107degree
163°
(1 point)
Responses
17°17degree
73°73degree
107°107degree
163°
To find the measure of angle x, we need to set up an equation based on the fact that the two angles are supplementary.
Let's assume that one angle is x°. Then the other angle, being supplementary, would be 180° - x°.
Setting up the equation:
x° + (180° - x°) = 180°
Simplifying the equation:
x° + 180° - x° = 180°
180° cancels out on both sides of the equation:
0 = 0
Since 0 = 0 is always true, it means that any value of x would satisfy this equation. Therefore, the measure of angle x can be any value.
Let's assume that one angle is x°. Then the other angle, being supplementary, would be 180° - x°.
Setting up the equation:
x° + (180° - x°) = 180°
Simplifying the equation:
x° + 180° - x° = 180°
180° cancels out on both sides of the equation:
0 = 0
Since 0 = 0 is always true, it means that any value of x would satisfy this equation. Therefore, the measure of angle x can be any value.