Question

Match the missing angle measurement to the diagram.

Answer 1

(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.

Answer 2

OK so the straight line one is 136°

The L one is 33°

The X one is 57°

The last one is 80°