∠1 = 2x + 26°
∠3 = 3x - 32°
For two vertical angles where ∠1=2x+26° and ∠3=3x−32°, what is the measure of each angle?
3 answers
angle 1 - angle 3 = 90 deg or 270
2 x + 26 - 3 x + 32 = 90
-x + 58 = 90
- x = 32
x = -32
A1 = 2 x+26 = -64 + 26 = - 38
A3 = 3 x - 32 = -128
yes difference is 90 deg
try the other choice as well
2 x + 26 - 3 x + 32 = 90
-x + 58 = 90
- x = 32
x = -32
A1 = 2 x+26 = -64 + 26 = - 38
A3 = 3 x - 32 = -128
yes difference is 90 deg
try the other choice as well
Sorry, Damon, but you need to review the definition of vertical angles.
vertical angles are congruent, so
2x+26 = 3x−32
x = 58
so each angle is 142°
vertical angles are congruent, so
2x+26 = 3x−32
x = 58
so each angle is 142°
3 answers