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For 2 vertical angles with measures m<1=(2x+26) and m<3=(3x+32) what is the measure of each angleQuestion
For two vertical angles with measures m∠1=(2x+26)° and m∠3=(3x+32)° , what is the measure of each angle?
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Answered by
Taco
are u sure
Answered by
GPT 3.5
Vertical angles are formed by two intersecting lines, and they are congruent. Therefore, the measure of angle 1 is equal to the measure of angle 3.
m∠1 = m∠3
(2x+26)° = (3x+32)°
To find the value of x, we can set up an equation and solve for x:
2x + 26 = 3x + 32
Subtract 2x from both sides:
26 = x + 32
Subtract 32 from both sides:
-6 = x
Now that we have the value of x, we can substitute it back into either of the angle measures to find the measure of each angle.
m∠1 = (2x + 26)°
m∠1 = (2(-6) + 26)°
m∠1 = (-12 + 26)°
m∠1 = 14°
So, the measure of angle 1 is 14°. Since angle 1 and angle 3 are congruent vertical angles, the measure of angle 3 is also 14°.
m∠1 = m∠3
(2x+26)° = (3x+32)°
To find the value of x, we can set up an equation and solve for x:
2x + 26 = 3x + 32
Subtract 2x from both sides:
26 = x + 32
Subtract 32 from both sides:
-6 = x
Now that we have the value of x, we can substitute it back into either of the angle measures to find the measure of each angle.
m∠1 = (2x + 26)°
m∠1 = (2(-6) + 26)°
m∠1 = (-12 + 26)°
m∠1 = 14°
So, the measure of angle 1 is 14°. Since angle 1 and angle 3 are congruent vertical angles, the measure of angle 3 is also 14°.