Match the missing angle measurement to the diagram.

Question

asked Nov 19, 2020 15.9k views

2 Answers

Sumitk · Answer 1 · 2020-11-21T02:30:20+0000

Answer:

(A)
$x=136^(\circ)$

(B)
$y=33^(\circ)$

(C)
$z=80^(\circ)$

(D)
$p=57^(\circ)$

Explanation:

(A) We can see that 1st pair is a linear pair of angles.

$44^(\circ)+x=180^(\circ)$

$44^(\circ)-44^(\circ)+x=180^(\circ)-44^(\circ)$

$x=136^(\circ)$

(B) We can see that 57 degree angle and y make right angle (90 degree).

$57^(\circ)+y=90^(\circ)$

$57^(\circ)-57^(\circ)+y=90^(\circ)-57^(\circ)$

$y=33^(\circ)$

(C) We have been given that measure of angle ABC is 107 degrees.

$z+27^(\circ)=m\angle ABC$

$z+27^(\circ)=107^(\circ)$

$z+27^(\circ)-27^(\circ)=107^(\circ)-27^(\circ)$

$z=80^(\circ)$

(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.