For two vertical angles with measures<1=(2x+26) and <3=(3x+32) what is the measure of each angle
Vertical angles are formed when two lines intersect. They have equal measures.
Given that <1 = 2x + 26 and <3 = 3x + 32, we can set up an equation:
2x + 26 = 3x + 32
To solve for x, we can subtract 2x from both sides:
26 = x + 32
Next, we can subtract 32 from both sides:
-6 = x
Therefore, x = -6.
Substituting this value back into the expressions for <1 and <3:
<1 = 2(-6) + 26 = 14
<3 = 3(-6) + 32 = 14
So, the measure of each angle <1 and <3 is 14 degrees.