Answer:
(A) [tex]x=136^{\circ}[/tex]
(B) [tex]y=33^{\circ}[/tex]
(C) [tex]z=80^{\circ}[/tex]
(D) [tex]p=57^{\circ}[/tex]
Step-by-step explanation:
(A) We can see that 1st pair is a linear pair of angles.
[tex]44^{\circ}+x=180^{\circ}[/tex]
[tex]44^{\circ}-44^{\circ}+x=180^{\circ}-44^{\circ}[/tex]
[tex]x=136^{\circ}[/tex]
(B) We can see that 57 degree angle and y make right angle (90 degree).
[tex]57^{\circ}+y=90^{\circ}[/tex]
[tex]57^{\circ}-57^{\circ}+y=90^{\circ}-57^{\circ}[/tex]
[tex]y=33^{\circ}[/tex]
(C) We have been given that measure of angle ABC is 107 degrees.
[tex]z+27^{\circ}=m\angle ABC[/tex]
[tex]z+27^{\circ}=107^{\circ}[/tex]
[tex]z+27^{\circ}-27^{\circ}=107^{\circ}-27^{\circ}[/tex]
[tex]z=80^{\circ}[/tex]
(D) We can see that angle p and angle with measure 57 degrees are vertical angles.
We know that measure of two vertical angles is equal, therefore, the value of p is 57 degrees.
