Answered

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F.28. 21 and 22 are vertical angles. If mZ1 =(6x + 11) and mZ2 = (10x - 9), find mZ1.mZ1 =

F28 21 And 22 Are Vertical Angles If MZ1 6x 11 And MZ2 10x 9 Find MZ1mZ1 class=

Sagot :

It is given that angle 1 and angle 2 are vertical angles.

It is known that the vertical angles are congruent.

Therefore it follows:

[tex]\begin{gathered} m\angle1=m\angle2 \\ 6x+11=10x-9 \\ 11+9=10x-6x \\ 20=4x \\ x=5 \end{gathered}[/tex]

So the value of angle 1 is given by:

[tex]\begin{gathered} \angle1=6x+11 \\ =6\times5+11 \\ =41 \end{gathered}[/tex]

Hence the angle is 41 degrees.

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