Vertical angles are defined as pairs of opposite angles formed by two intersecting lines. They have equal measures.
Given that m<1 = (2x+26) and m<3 = (3x+32), and since vertical angles are equal, we can set up an equation:
(2x+26) = (3x+32)
Simplifying this equation, we subtract 2x from both sides:
26 = x+32
Then, we subtract 32 from both sides:
-6 = x
Now that we have the value of x, we can substitute it back into either angle measurement to find the measure of each angle. Let's substitute it into m<1:
m<1 = (2x+26)
m<1 = (2(-6)+26)
m<1 = (-12+26)
m<1 = 14
Therefore, the measure of angle <1 is 14 degrees.
Since vertical angles are equal, the measure of angle <3 is also 14 degrees.
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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