Two angles are suplementary with measueres m Angle: QRS = (x + 30) and m Angle: SRT = (2x) . What is the value of m Angle: QRS?
Since the two angles are supplementary, their measures add up to 180 degrees.
Therefore, we can set up the equation:
(x + 30) + (2x) = 180
Simplify:
3x + 30 = 180
Subtract 30 from both sides:
3x = 150
Divide by 3:
x = 50
Now, plug x back into the measure of angle QRS:
m Angle QRS = x + 30
m Angle QRS = 50 + 30
m Angle QRS = 80
Therefore, the measure of angle QRS is 80 degrees.
TYSM!! ;D
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Four angles share a vertex. They have the following measures: m Angle 1 = 63
m angle 2 =117, m angle 3 = 63, and m angle 4 = 117. Which angle is a vertical angle with angle 2?
Vertical angles are the angles that share the same vertex and are formed by two intersecting lines.
In this case, angle 1 and angle 2 are vertical angles because they have the same vertex and are formed by the intersecting lines that make up angle 1 and angle 2.
Therefore, angle 1 is the vertical angle with angle 2.
For two vertical angles with measures m angle 2 = 135 and m angle 4 = (4x+15) . What is the value of x?
Vertical angles are always congruent, meaning they have the same measure.
Since angle 2 and angle 4 are vertical angles, their measures are equal:
m angle 2 = m angle 4
135 = 4x + 15
Now, solve for x:
4x + 15 = 135
4x = 120
x = 30
Therefore, the value of x is 30.
in a diagram of a bridge , m angle 1 = 87. If angle 1 and angle 3 are verttical angles, and angle 2 and angle 3 are suplementary, what equation can you write to solve for the value for the value of m angle 2? Let m angle 2 = x
Given that angle 1 and angle 3 are vertical angles, they are congruent. So, m angle 1 = m angle 3 = 87.
Also, it is given that angle 2 and angle 3 are supplementary, meaning their measures add up to 180 degrees. Therefore, we can write the equation:
m angle 2 + m angle 3 = 180
Substitute the values we have:
x + 87 = 180
Now, solve for x:
x = 180 - 87
x = 93
Therefore, the value of m Angle 2 (x) is 93.