In complementary angles, the sum of their measures is 90°.
So, we have:
(2x)° + (3x)° = 90°
Combining like terms:
5x = 90
Solving for x:
x = 90 / 5
x = 18
Substitute x back in to find the angle measures:
(2x)° = 2(18)° = 36°
(3x)° = 3(18)° = 54°
Therefore, x = 18, (2x)° = 36°, and (3x)° = 54°.
.Two complementary angles have measures (2x)° and (3x)° . What is the value of x and the two angle measures?(2 points)
x=
, (2x)°=
°, and (3x)°=
°
10 answers
Angles j and k are supplementary angles. What is m∠j if m∠k=117° ?(1 point)
Supplementary angles add up to 180°.
Given that m∠k = 117°, we can use the fact that angles j and k are supplementary to find m∠j.
m∠j + m∠k = 180°
m∠j + 117° = 180°
Subtracting 117° from both sides:
m∠j = 180° - 117°
m∠j = 63°
Therefore, m∠j is 63°.
Given that m∠k = 117°, we can use the fact that angles j and k are supplementary to find m∠j.
m∠j + m∠k = 180°
m∠j + 117° = 180°
Subtracting 117° from both sides:
m∠j = 180° - 117°
m∠j = 63°
Therefore, m∠j is 63°.
Two supplementary angles have measures m∠ABC=105° and m∠CBD=(3x−24)° . What is the equation to solve for x ? (1 point)
(3x−24)°+
°=
°
(3x−24)°+
°=
°
Two supplementary angles add up to 180°.
Given that m∠ABC = 105° and m∠CBD = (3x - 24)°, the equation to solve for x would be:
105° + (3x - 24)° = 180°
As the sum of the measures of the two supplementary angles equals 180°.
Given that m∠ABC = 105° and m∠CBD = (3x - 24)°, the equation to solve for x would be:
105° + (3x - 24)° = 180°
As the sum of the measures of the two supplementary angles equals 180°.
Two supplementary angles have measures m∠ABC=105° and m∠CBD=(3x−24)° . What is the equation to solve for x ? (1 point)
The equation to solve for x is:
m∠ABC + m∠CBD = 180°
Given:
m∠ABC = 105°
m∠CBD = (3x - 24)°
Substitute the given values:
105° + (3x - 24)° = 180°
This equation can be simplified and then solved to find the value of x.
m∠ABC + m∠CBD = 180°
Given:
m∠ABC = 105°
m∠CBD = (3x - 24)°
Substitute the given values:
105° + (3x - 24)° = 180°
This equation can be simplified and then solved to find the value of x.
Two angles are supplementary with measures m∠ACB=4x° and m∠BCD=(6x+50)° . What is the measure of ∠ACB ?(1 point)
m∠ACB=
°
m∠ACB=
°
Use the image to answer the question.
An illustration shows a horizontal line intersecting two parallel slanting lines. The angles the horizontal line forms with left parallel line are 1, 2, 3, and 4. Angles 1 and 2 are complementary. Angles 2 and 4 are complementary. Angles 4 and 3 are complementary. Angles 3 and 1 are complementary. Angles 1 and 4 are opposite each other. Angles 2 and 3 are opposite each other. The angles the horizontal line forms with right parallel line are 5, 6, 7, and 8. . Angles 5 and 6 are complementary. Angles 6 and 8 are complementary. Angles 8 and 7 are complementary. Angles 7 and 5 are complementary. Angles 5 and 8 are opposite each other. Angles 6 and 7 are opposite each other.
Which angle is a vertical angle with ∠5 ?
(1 point)
∠
An illustration shows a horizontal line intersecting two parallel slanting lines. The angles the horizontal line forms with left parallel line are 1, 2, 3, and 4. Angles 1 and 2 are complementary. Angles 2 and 4 are complementary. Angles 4 and 3 are complementary. Angles 3 and 1 are complementary. Angles 1 and 4 are opposite each other. Angles 2 and 3 are opposite each other. The angles the horizontal line forms with right parallel line are 5, 6, 7, and 8. . Angles 5 and 6 are complementary. Angles 6 and 8 are complementary. Angles 8 and 7 are complementary. Angles 7 and 5 are complementary. Angles 5 and 8 are opposite each other. Angles 6 and 7 are opposite each other.
Which angle is a vertical angle with ∠5 ?
(1 point)
∠
In the given image:
- Angle 5 is complementary to angle 6.
- Angle 6 is opposite angle 7.
- Therefore, Angle 5 is vertical to angle 7.
So, the vertical angle with angle 5 is angle 7.
- Angle 5 is complementary to angle 6.
- Angle 6 is opposite angle 7.
- Therefore, Angle 5 is vertical to angle 7.
So, the vertical angle with angle 5 is angle 7.