The question is this:
<1 and <2 are supplementary angles. <1 and <3 are vertical angles. If m<2= 72 degrees, what is <3?
<1 and <2 are supplementary angles.
<1 and <3 are vertical angles. ..................................... [1]
and
m<2 = 72 degrees,
SO,
<1 = 180 -<2 = 180 - 72 = 108 degrees, ..................... [2]
From [1] & [2], <3 = <1 = 108 degrees >=====================< ANSWER
If m<2 = 72 degrees then m<1 = 180 - 72 = 108 degrees
If <1 and <3 are vertical angles then m<1 = m<3 = 108 degrees.
Angle 3 is supplementary to Angle 2, so angle 3 = 108 degrees
Copyright © 2024 Q2A.ES - All rights reserved.
Answers & Comments
Verified answer
<1 and <2 are supplementary angles.
<1 and <3 are vertical angles. ..................................... [1]
and
m<2 = 72 degrees,
SO,
<1 = 180 -<2 = 180 - 72 = 108 degrees, ..................... [2]
From [1] & [2], <3 = <1 = 108 degrees >=====================< ANSWER
If m<2 = 72 degrees then m<1 = 180 - 72 = 108 degrees
If <1 and <3 are vertical angles then m<1 = m<3 = 108 degrees.
Angle 3 is supplementary to Angle 2, so angle 3 = 108 degrees