There is a pair of vertical angles whose measures are m 1 = 106 and m 2 = (3x - 75) what equation can you write to solve for x
The equation that can be written to solve for x in this case is:
106 = 3x - 75
two intersceting lines create four anges 1 and three are a vertical pair. their sum of their measures is equal to 68 what equation solves for the value of each angle
Let's denote the measures of the four angles as follows:
Angle 1: a
Angle 2: b
Angle 3: c
Angle 4: d
Since three of the angles are a vertical pair, we know that:
a = c
b = d
The sum of the measures of all four angles is given as 68, so we can write the equation:
a + b + c + d = 68
Substituting the vertical angle property, we have:
a + b + a + b = 68
2a + 2b = 68
Simplifying the equation, we get:
2(a + b) = 68
a + b = 34
Since we are asked to solve for the measures of each individual angle, we need another equation. However, more information about the angles is needed to find specific values for a, b, c, and d.
Just for 1 and 3
Let's denote the measures of Angle 1 and Angle 3 as follows:
Angle 1: a
Angle 3: b
Since the two angles are a vertical pair, we know that:
a = b
The sum of the measures of both angles is given as 68, so we can write the equation:
a + b = 68
Substituting a for b, we have:
a + a = 68
2a = 68
a = 34
Therefore, Angle 1 (a) measures 34 degrees and Angle 3 (b) also measures 34 degrees.
the sum of the measures of two vertical angles is 300 solve for the measure of each angle
Let's denote the measures of the two vertical angles as follows:
Angle 1: a
Angle 2: b
The sum of the measures of the two vertical angles is given as 300, so we can write the equation:
a + b = 300
Since vertical angles are congruent, we can also say that:
a = b
Substituting a for b in the first equation, we have:
a + a = 300
2a = 300
a = 150
Therefore, Angle 1 (a) measures 150 degrees and Angle 2 (b) also measures 150 degrees.
in a geometric figure two interscenting lines reating four angles if 1 and 4 are a vertical pair m 1 = (4x + 26) and m 3 = 98 what is the value of x
Since angles 1 and 4 are a vertical pair, their measures are equal. We can write this as:
m1 = m4
According to the given information, we have:
m1 = (4x + 26)
m3 = 98
We also know that the sum of the measures of angles 1, 2, 3, and 4 is equal to 360 degrees:
m1 + m2 + m3 + m4 = 360
Substituting the given values, we have:
(4x + 26) + m2 + 98 + (4x + 26) = 360
Simplifying the equation:
8x + 150 + m2 = 360
To solve for x, we need more information about the measure of angle 2. If the measure of angle 2 is given or there is another relationship specified, we can substitute it into the equation and solve for x.
98
14
72
or 18