In the figure, the measure of Angle 6 is 141°.
What is the measure of Angle 5?
![In the figure the measure of Angle 6 is 141 What is the measure of Angle 5 class=](https://us-static.z-dn.net/files/dd9/45edecbf0a4fb934b7b63ee7bcf1fb4e.png)
[tex]\huge\underline\fcolorbox{blue}{pink}{ąɲȿώƹř=39}[/tex]
Step-by-step explanation:
[tex] \large \underline\color{pink}{lets \: solve \: ↬} [/tex]
[tex] \\ \\ \large \color{blue}{ \boxed{↪given \ angle \: 6 = 141}} \\ \\ \large \color{blue}{suppose \: angle \: 5 = x} \\ \\ \large \green {↪ \angle\: 5 \: nd \angle 6 \:are \: on \: straight \: line} \\ \\ \large \green{we \: know \: that \: the \: sum \: of \: straight \: angle \: is \: of \: 180} \\ \\ \large \green{ ↪\angle5 + \angle6 = 180} \\ \\ \large \green{↪ \angle{x} + \angle 141 = 180} \\ \\ \large \green{↪ \angle{x} = 180 - 141} \\ \\ \large \green{ ↪\angle{x} = 39} \\ \\ \\ \Large \color{pink}{ soo \: \angle5 = 39}[/tex]
[tex]\large\purple{\boxed{\mathfrak{❥\:Velvet\:Pearl}}}[/tex]
The measure of angle 5 in the diagram is 39 degrees
From the figure, both angles are linear pair angles.
So, we have:
Angle 5 + Angle 6 = 180 --- Linear pair angles add up to 180
This gives
Angle 5 + 141 = 180
Subtract 141 from both sides
Angle 5 = 39
Hence, the measure of angle 5 in the diagram is 39 degrees
Read more about corresponding angles at:
https://brainly.com/question/26167358