Measure of angel[tex]2[/tex] is equals to [tex]65\°[/tex].
What is angle?
" Angle is defined as when two rays meet at one point."
Linear pair angles
When two angles are formed by intersection of two lines at one point. Sum of measure of linear pair is always [tex]180\°[/tex].
According to the question,
Measure of two angles are given,
[tex]m\angle1 = 11x + 5\\\\m\angle2 = 8x - 15[/tex]
Consider both the angles are linear pair as shown in figure we get,
[tex]m\angle1 +m\angle2 = 180\°\\\\\implies 11x + 5+8x-15 = 180\°\\\\\implies 19x -10 = 180\°\\\\\implies 19x = 190\°\\\\\implies x = 10\°[/tex]
Substitute the value of x in measure of angle[tex]2[/tex] we get,
[tex]m\angle2 = 8x - 15[/tex]
[tex]= 8(10) -15\\\\= 80-15\\\\= 65\°[/tex]
Hence, measure of angel[tex]2[/tex] is equals to [tex]65\°[/tex].
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