use the image to answer the question.
are the two indicated angles adjacent? why or why not? (1 point) responses yes, the two indicated angles share a common vertex. yes, the two indicated angles share a common vertex. no, the two indicated angles do not share a common vertex. no, the two indicated angles do not share a common vertex. yes, the two indicated angles share a common ray. yes, the two indicated angles share a common ray. no, the two indicated angles do not share a common ray.
The image is not provided, so I cannot answer the question.
Two complementary angles have measures (2x)° and (3x)° . What is the value of x and the two angle measures?(2 points) pls help
To find the value of x and the two angle measures, we need to set up an equation based on the definition of complementary angles. Complementary angles are two angles whose measures add up to 90°.
So, we have the following equation:
(2x) + (3x) = 90
Now, we can solve for x.
Combining like terms, we get:
5x = 90
Dividing both sides by 5, we find:
x = 18
Now, we can substitute x=18 back into the expressions for the angle measures to find their values.
Angle 1: (2x)° = (2*18)° = 36°
Angle 2: (3x)° = (3*18)° = 54°
Therefore, x = 18 and the angle measures are 36° and 54°.
Angles j and k are supplementary angles. What is m∠j if m∠k=117° ?(1 point)
If angles j and k are supplementary angles, it means that their measures add up to 180°.
Given that m∠k = 117°, we can substitute this value into the equation:
m∠j + 117° = 180°
Now, we can solve for m∠j.
Subtracting 117° from both sides of the equation, we get:
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)
If angles ABC and CBD are supplementary, their measures add up to 180°.
Given that m∠ABC = 105° and m∠CBD = (3x - 24)°, we can set up the equation:
m∠ABC + m∠CBD = 180°
Substituting the given values, we have:
105 + (3x - 24) = 180
Now, we can solve for x by simplifying and isolating the variable:
3x - 24 + 105 = 180
3x + 81 = 180
Subtracting 81 from both sides of the equation, we get:
3x = 99
Finally, divide both sides by 3:
x = 33
Thus, the equation to solve for x is 3x + 81 = 180.
Two angles are supplementary with measures m∠ACB=4x° and m∠BCD=(6x+50)° . What is the measure of ∠ACB ?(1 point)
If angles ACB and BCD are supplementary, their measures add up to 180°.
Given that m∠ACB = 4x° and m∠BCD = (6x + 50)°, we can set up the equation:
m∠ACB + m∠BCD = 180°
Substituting the given values, we have:
4x + (6x + 50) = 180
Now, we can solve for x by combining like terms:
10x + 50 = 180
Subtracting 50 from both sides of the equation, we get:
10x = 130
Finally, divide both sides by 10:
x = 13
Thus, the measure of ∠ACB is 4x°, so ∠ACB = 4(13) = 52°.