1 Answer

Phate P · Answer 1 · 2023-06-24T13:45:01+0000

The sum of linear pair of angles is 180 degrees.

So,

$\angle10+\angle9=180^(\circ)$

Substitute 95 for angle 10 in the equation to obtain the value of angle 9.

$\begin{gathered} 95^(\circ)+\angle9=180^(\circ) \\ \angle9=180^(\circ)-95^(\circ) \\ =85^(\circ) \end{gathered}$

The pair of vertically opposite angles are equal, so

$\angle9=\angle11$

and

$\angle10=\angle12$

Determine value of angle 11 and angle 12.

$\angle11=85^(\circ)$

and

$\angle12=95^(\circ)$

The pair of vertically opposite angles are equal, so

$\angle13=\angle9$
$\angle16=\angle12$
$\angle10=\angle14$
$\angle11=\angle15$

Determine the measurement of angle 13, angle 14, angle 15 and angle 16.

$\angle13=85^(\circ)$
$\angle14=95^(\circ)$
$\angle15=85^(\circ)$
$\angle16=95^(\circ)$

Thus, measurement of all the angles are as,

angle 9 = 85 degree

angle 10 = 95 degree

angle 11 = 85 degree

angle 12 = 95 degree

angle 13 = 85 degree

angle 14 = 95 degree

angle 15 = 85 degree

angle 16 = 95 degree

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