Given
A) The angles A and B are supplementary.
If,
[tex]\begin{gathered} \angle A=x+6 \\ \angle B=7x+30 \end{gathered}[/tex]
B) The figure,
To find
A) The value of x.
B) The value of x.
Explanation:
A) It is given that,
Angle A and angle B are supplementary.
Then,
[tex]\angle A+\angle B=180\degree[/tex]
Hence, the error is in the statement,
Since the angles are supplementary, when added together they equal 90.
As, the correct answer is when added together they equal 180.
That implies,
[tex]\begin{gathered} x+6+7x+30=180 \\ 8x+36=180 \\ 8x=180-36 \\ 8x=144 \\ x=\frac{144}{8} \\ x=18\degree \end{gathered}[/tex]
Hence, the value of x is 18 degrees.
B) It is given that,
From, the figure the given angles are interior angles.
Also, the interior angles on the same side of the transversal is supplementary.
Which means when you add them they equal 180.
Hence, the error is in the statement,
Since the angles are adjacent, they are complementary angles.
Which means when you add them they equal 180.
As, the angles are interior angles on the same side of the transversal.
Also,
[tex]\begin{gathered} 64+x=180 \\ x=180-64 \\ x=116\degree \end{gathered}[/tex]
Hence, the value of x is 116 degrees.
